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Recent questions tagged ch7
Questions
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
By using the properties of definite integrals, evaluate the integral $\int\limits_0^\frac{\Large \pi}{\Large 2}(2 \log \sin x-\log \sin 2x)\;dx$
cbse
class12
bookproblem
ch7
sec11
q10
p347
sec-b
medium
modelpaper
2012
q27
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_\frac{\Large -\pi}{\Large 2}^\frac{\Large \pi}{\Large 2}\sin^2\;x\;dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q11
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\pi\frac{x\;dx}{1+\sin x}\]
cbse
class12
bookproblem
ch7
sec11
q12
p347
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_\frac{\Large -\pi}{\Large 2}^\frac{\Large \pi}{\Large 2}\sin^7\;x\;dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q13
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^{2\pi}\cos^5x\;dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q14
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^\frac{\Large \pi}{\Large 2}\frac{\sin x-\cos x}{1+\sin x\cos x}\;dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q15
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\pi\; log(1+\cos x)\;dx\]
cbse
class12
bookproblem
ch7
sec11
q16
p347
sec-c
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^a\frac{\sqrt x}{\sqrt x+\sqrt{a-x}}dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q17
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^4\mid x-1\mid dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q18
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Show that $\int\limits_0^af(x)g(x)dx=2\int\limits_0^af(x)dx,$ if \(f\) and \(g\) are defined as \(f(x) = f(a - x)\) and \(g(x) + g(a - x)=4\)
cbse
class12
bookproblem
ch7
sec11
q19
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the value of $\displaystyle\int\limits_\frac{\Large -\pi}{\Large 2}^\frac{\Large \pi}{\Large 2}(x^3+x\cos x+\tan^5x+1)dx$ is
cbse
class12
bookproblem
ch7
sec11
q20
p347
sec-a
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the value of $\int\limits_0^\frac{\pi}{2}log\bigg(\frac{\large 4+3\sin x}{\large 4+3\cos x}\bigg)dx$ is
cbse
class12
bookproblem
ch7
sec11
q21
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\frac{5x}{(x+1)(x^2+9)}\]
cbse
class12
bookproblem
ch7
misc
q6
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\large\int\frac{\sin x}{\sin(x-a)}$
cbse
class12
bookproblem
ch7
misc
q7
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\begin{align*}\frac{e^{5logx}-e^{4logx}}{e^{3logx}-e^{2logx}}\end{align*}$
cbse
class12
bookproblem
ch7
misc
q8
p352
sec-a
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\begin{align*}\int\frac{\cos x}{\sqrt{4-\sin^2x}} \end{align*}$
cbse
class12
bookproblem
ch7
misc
q9
p352
sec-a
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{\sin^8x-\cos^8x}{1-2\sin^2x\cos^2x}\]
cbse
class12
bookproblem
ch7
misc
q10
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{1}{\cos(x+a)\cos(x+b)}\]
cbse
class12
bookproblem
ch7
misc
q11
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\begin{align*}\int\frac{x^3}{\sqrt{1-x^8}} \end{align*}$
cbse
class12
bookproblem
ch7
misc
q12
p352
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{e^x}{(1+e^x)(2+e^x)}$
cbse
class12
bookproblem
ch7
misc
q13
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{1}{(x^2+1)(x^2+4)}\]
cbse
class12
bookproblem
ch7
misc
q14
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\cos^3x\;e^{log\sin x}dx$
cbse
class12
bookproblem
ch7
misc
q15
p352
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int e^{3\log x}(x^4+1)^{-1}$
cbse
class12
bookproblem
ch7
misc
q16
p352
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int f'(ax+b)[f(ax+b)]^n\]
cbse
class12
bookproblem
ch7
misc
q17
p352
sec-b
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\large\frac{1}{\sqrt{\sin^3x\sin(x+\alpha)}}$
cbse
class12
bookproblem
ch7
misc
q18
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{\sin^{-1}\sqrt x-\cos^{-1}\sqrt x}{\sin^{-1}\sqrt x+\cos^{-1}\sqrt x},$$x\;\in\;[0,1]$
cbse
class12
bookproblem
ch7
misc
q19
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\sqrt{\frac{1-\sqrt x}{1+\sqrt x}}\]
cbse
class12
bookproblem
ch7
misc
q20
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{2+\sin2x}{1+\cos2x}$$e^x$
cbse
class12
bookproblem
ch7
misc
q21
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{x^2+x+1}{(x+1)^2(x+2)}$
cbse
class12
bookproblem
ch7
misc
q22
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\tan^{-1}\sqrt{\frac{1-x}{1+x}}\]
cbse
class12
bookproblem
ch7
misc
q23
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{\sqrt{x^2+1}[log(x^2+1)-2logx]}{x^4}\]
cbse
class12
bookproblem
ch7
misc
q24
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_\frac{\pi}{2}^\pi e^x\bigg(\frac{1-\sin x}{1-\cos x}\bigg)dx\]
cbse
class12
bookproblem
ch7
misc
q25
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{4}\frac{\sin x\cos x}{\cos^4x+\sin^4x}dx\]
cbse
class12
bookproblem
ch7
misc
q26
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{2}\frac{\cos^2xdx}{\cos^2x+4\sin^2x}\]
cbse
class12
bookproblem
ch7
misc
q27
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_\frac{\pi}{6}^\frac{\pi}{3}\frac{\sin x+\cos x}{\sqrt{\sin2x}}dx\]
cbse
class12
bookproblem
ch7
misc
q28
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_0^1\frac{dx}{\sqrt{1+x}-\sqrt x}\]
cbse
class12
bookproblem
ch7
misc
q29
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
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