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Recent questions in CBSE XII
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CBSE XII
CBSE XII
Math
Physics
Chemistry
Biology
Evaluate the definite integral\[\int\limits_0^\frac{\Large \pi}{\Large 2}\cos 2x\;dx\]
cbse
class12
bookproblem
ch7
sec9
q5
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the area of the region bounded by the curve $y^2 = 4x,\; y$ - axis and the line $y = 3$ is
cbse
class12
bookproblem
ch8
sec1
q13
p366
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral\[\int\limits_4^5e^x\;dx\]
cbse
class12
bookproblem
ch7
sec9
q6
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral\[\int\limits_0^\frac{\Large \pi}{\Large 4}\tan x\;dx\]
cbse
class12
bookproblem
ch7
sec9
q7
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in area lying in the first quadrant and bounded by the circle $x^2 + y^2 = 4 $ and the lines $x = 0$ and $x = 2$ is
cbse
class12
bookproblem
ch8
sec1
q12
p366
sec-a
easy
math
aims-12-math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral\[\int\limits_\frac{\Large \pi}{\Large 6}^\frac{\Large \pi}{\Large 4}cosec x\;dx\]
cbse
class12
bookproblem
ch7
sec9
q8
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Find the area of the region bounded by the curve $y^2 = 4x$ and the line $x = 3$.
cbse
class12
bookproblem
ch8
sec1
q11
p366
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral\[\int\limits_0^1\frac{dx}{\sqrt{1-x^2}}\]
cbse
class12
bookproblem
ch7
sec9
q9
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral\[\int\limits_0^1\frac{dx}{1+x^2}\]
cbse
class12
bookproblem
ch7
sec9
q10
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral\[\int\limits_2^3\frac{dx}{x^2-1}\]
cbse
class12
bookproblem
ch7
sec9
q11
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral $\begin{align*}\int\limits_0^\frac{\Large \pi}{2}\cos^2xdx \end{align*}$
cbse
class12
bookproblem
ch7
sec9
q12
p338
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral $\begin{align*}\int\limits_2^3\frac{xdx}{x^2+1} \end{align*}$
cbse
class12
bookproblem
ch7
sec9
q13
p338
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral $\begin{align*}\int\limits_0^1\frac{2x+3}{5x^2+1}dx \end{align*}$
cbse
class12
bookproblem
ch7
sec9
q14
p338
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Find the area bounded by the curve $x^2 = 4y$ and the line $x = 4y - 2$.
cbse
class12
bookproblem
ch8
sec1
q10
p366
sec-c
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral\[\int\limits_0^1x\;e^{x^2}dx\]
cbse
class12
bookproblem
ch7
sec9
q15
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral $\displaystyle\int\limits_1^2\frac{5x^2}{x^2+4x+3}$
cbse
class12
bookproblem
ch7
sec9
q16
p338
sec-b
difficult
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral\[\int\limits_0^\frac{\large\pi}{4}(2\sec^2x+x^3+2)dx\]
cbse
class12
bookproblem
ch7
sec9
q17
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral $\int\limits_0^\pi(\sin^2\frac{x}{2}-\cos^2\frac{x}{2})dx$
cbse
class12
bookproblem
ch7
sec9
q18
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral $\displaystyle\int\limits_0^2\frac{6x+3}{x^2+4}dx$
cbse
class12
bookproblem
ch7
sec9
q19
p338
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral $\displaystyle\int\limits_0^1(xe^x+\sin\frac{\pi\;x}{4})dx$
cbse
class12
bookproblem
ch7
sec9
q20
p338
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Find the area of the region bounded by the parabola $y = x^2$ and $y = \left | x \right | $.
cbse
class12
bookproblem
ch8
sec1
q9
p366
sec-a
easy
math
aims-12-math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
The area between $x = y^2$ and $x = 4$ is divided into two equal parts by the line $x = a$, find the value of $a$.
cbse
class12
bookproblem
ch8
sec1
q8
p366
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in $\int\limits_1^\sqrt 3\frac{dx}{1+x^2}\;equals$\[(A)\;\frac{\pi}{3}\qquad(B)\;\frac{2\pi}{3}\qquad(C)\;\frac{\pi}{6}\qquad(D)\;\frac{\pi}{12}\]
cbse
class12
bookproblem
ch7
sec9
q21
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Find the area of the smaller part of the circle $x^2 + y^2 = a^2$ cut off by the line $x =\Large { \frac{a}{\sqrt 2}}$.
cbse
class12
bookproblem
ch8
sec1
q7
p366
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region in the first quadrant enclosed by $x$ - axis, line $x = \sqrt {3}\: y$ and the circle $x^2 + y^2 = 4$.
cbse
class12
bookproblem
ch8
sec1
q6
p366
sec-c
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region bounded by the ellipse $\frac{\Large x^2}{\Large 4 } + \frac{\Large y^2}{\Large 9} = 1$
cbse
class12
bookproblem
ch8
sec1
q5
p366
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region bounded by the ellipse $\frac{\Large x^2}{\Large 16} + \frac{\Large y^2}{\Large 9} = 1$
cbse
class12
bookproblem
ch8
sec1
q4
p366
sec-a
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region bounded by $x^2 = 4y, y = 2, y = 4$ and the $y$ - axis in the first quadrant.
cbse
class12
bookproblem
ch8
sec1
q3
p366
sec-a
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region bounded by $y^2 = 9x,\; x = 2,\; x = 4$ and the $x$ - axis in the first quadrant.
cbse
class12
bookproblem
ch8
sec1
q2
p365
sec-a
easy
math
aims-12-math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region bounded by the curve $y^2 = x$ and the lines $x = 1, x = 4$ and the $x$ - axis.
cbse
class12
bookproblem
ch8
sec1
q1
p365
sec-b
easy
math
aims-12-math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in $\int\limits_0^\frac{2}{3}\frac{dx}{4+9x^2}$ equals
cbse
class12
bookproblem
ch7
sec9
q22
p338
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the integral using substitution\[\int\limits_0^1\frac{x}{x^2+1}dx\]
cbse
class12
bookproblem
ch7
sec10
q1
p340
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the integral using substitution $\int\limits_0^\frac{\large\pi}{2}\sqrt{\sin\phi}\cos^5\phi\;d\phi$
cbse
class12
bookproblem
ch7
sec10
q2
p340
sec-a
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the integral using substitution $\begin{align*}\int\limits_0^1\sin^{-1}\bigg(\frac{2x}{1+x^2}\bigg)dx \end{align*}$
cbse
class12
bookproblem
ch7
sec10
q3
p340
sec-a
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the integral using substitution $\int\limits_0^2 x\sqrt{x+2}\;(Put\;x+2=t^2)$
cbse
class12
bookproblem
ch7
sec10
q4
p340
sec-a
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the integral using substitution\[\int\limits_0^\frac{\large \pi}{2}\frac{\sin x}{1+\cos^2x}dx\]
cbse
class12
bookproblem
ch7
sec10
q5
p340
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the integral using substitution\[\int\limits_0^2\frac{dx}{x+4-x^2}\]
cbse
class12
bookproblem
ch7
sec10
q6
p340
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the integral using substitution\[\int\limits_{-1}^1\frac{dx}{x^2+2x+5}\]
cbse
class12
bookproblem
ch7
sec10
q7
p340
sec-b
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the integral using substitution $\displaystyle\int\limits_1^2\bigg(\frac{1}{x}-\frac{1}{2x^2}\bigg)e^{2x}dx$
cbse
class12
bookproblem
ch7
sec10
q8
p340
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the value of the integral$\begin{align*}\int\limits_\frac{1}{3}^1\frac{(x-x^3)^\frac{1}{3}}{x^4}dx \end{align*}$ is
cbse
class12
bookproblem
ch7
sec10
q9
p340
sec-a
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Choose the correct answer If f(x)=$\int\limits_0^x t\sin t\;dt,$ then f'(x) is
cbse
class12
bookproblem
ch7
sec10
q10
p340
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^\frac{\Large \pi}{\Large 2}\cos^2x\;dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q1
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\frac{\Large \pi}{\Large 2}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}\;dx\]
cbse
class12
bookproblem
ch7
sec11
q2
p347
sec-b
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\frac{\pi}{2}\frac{\sin^\frac{3}{2}\;x\;dx}{\sin^\frac{3}{2}\;x+\cos^\frac{3}{2}\;x}\]
cbse
class12
bookproblem
ch7
sec11
q3
p347
sec-b
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\frac{\pi}{2}\frac{\cos^5x\;dx}{\sin^5x+\cos^5x}\]
cbse
class12
bookproblem
ch7
sec11
q4
p347
sec-b
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_{-5}^5\mid x+2 \mid\;dx\]
cbse
class12
bookproblem
ch7
sec11
q5
p347
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_2^8\mid x-5 \mid\;dx\]
cbse
class12
bookproblem
ch7
sec11
q6
p347
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^1x\;(1-x)^n\;dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q7
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $ \begin{align*}\int\limits_0^\frac{\pi}{4} log (1+\tan x)\;dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q8
p347
sec-a
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^2x\sqrt{2-x}dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q9
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
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