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Recent questions and answers in Integrals
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CBSE XII
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Math
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Integrals
Integrate : $\begin{align*} \int \frac{dx}{3+2 \sin x + \cos x} \end{align*}$
cbse
class12
maths
ch7
sec-e
answered
Dec 12, 2016
by
priyanka.c
1
answer
$\begin{align*} \int_{\frac{\pi}{6}} ^\frac{\pi}{3} \frac{dx}{1+\sqrt{\tan x}} \end{align*}$
cbse
class12
maths
ch7
sec-c
answered
Dec 12, 2016
by
priyanka.c
1
answer
Find the point on the curve $y = x^3 - 11 x + 5$ at which the target is $y = x -11.$
cbse
class12
maths
ch7
sec-e
answered
Dec 8, 2016
by
priyanka.c
1
answer
Evaluate : $\begin{align*}\int\limits_{-1}^1 log (\frac{2+x}{2-x}) dx \end{align*}$
cbse
class12
maths
sec-b
ch7
answered
Nov 25, 2016
by
priyanka.c
1
answer
$\begin{align*}\int_0^\frac{\pi}{2} \frac{\sin x}{1 + \cos^2 x } dx \end{align*}$
cbse
class12
maths
sec-e
ch7
answered
Nov 22, 2016
by
priyanka.c
1
answer
Evaluate : $\begin{align*}\int_4^9 \frac{\sqrt x}{(30 - x^{\frac{3}{2}})^2} dx \end{align*}$
cbse
class12
maths
sec-e
ch7
answered
Nov 20, 2016
by
priyanka.c
1
answer
Find the value of k if f(x) is continuous at $x = \frac{\pi}{2}$, when $f(x) =\begin{cases}\frac{k \cos x}{\pi - 2x }\;;\; x \neq \frac{\pi}{2} \\ 3 ,\; \; \; \; \; \; \; \; \; x = \frac{\pi}{2} \end{cases}$
cbse
class12
maths
sec-e
ch5
answered
Nov 20, 2016
by
priyanka.c
1
answer
$\begin{align*}\int_0^1 \frac{\tan^{-1} x}{1+x^2} dx \end{align*}$
cbse
class12
maths
sec-e
ch7
answered
Nov 19, 2016
by
priyanka.c
1
answer
$\begin{align*}\int \frac{dx}{\sqrt {x^2 - a^2}} \end{align*}$
cbse
class12
maths
sec-e
ch7
answered
Nov 18, 2016
by
priyanka.c
1
answer
$\begin{equation} \int\limits_0^1 \sin^{-1} x \; \mathrm{d} x \end{equation}$
cbse
class12
maths
sec-e
ch7
answered
Nov 17, 2016
by
priyanka.c
1
answer
Integrate dx/(x4 + x2 +81)
answered
Feb 2, 2016
by
kamalhandoo
1
answer
Demonstrate using numerical methods
numerical
methods
asked
Jun 25, 2015
by
hectordavid1995
0
answers
evaluate $ \int \limits_0 ^ {\pi} \large\frac{x}{(1+\sin x)}$$dx$
class12
sec-b
answered
Mar 16, 2015
by
balaji.thirumalai
2
answers
integrate the function:- $cos^{3}(x)\; ?$
answered
Sep 21, 2014
by
pady_1
1
answer
evaluate integral $\large\int{\normalsize \frac{x}{e^x}\;\normalsize dx}$ by substitution method
answered
Sep 21, 2014
by
pady_1
1
answer
Integrate the function $(3x-2)\sqrt{x^2+x+1}$
cbse
class12
modelpaper-2014
65-2-3
q18-b
math
sec-b
answered
Mar 21, 2014
by
rvidyagovindarajan_1
1
answer
integrate 1/1+x3
class12
math
answered
Feb 15, 2014
by
balaji
1
answer
By using the properties of definite integrals,evaluate the integral $ \int\limits_{-10}^{10}\mid x+2 \mid\;dx$
cbse
class12
additionalproblem
ch7
sec-b
medium
math
answered
Jan 31, 2014
by
balaji
1
answer
$\int\;\large\frac{a\sin x+6}{cos^2x}$$dx$
jeemain
math
integral-calculus
cbse
class12
ch7
ch8
easy
answered
Jan 28, 2014
by
priyakarthick05_1
1
answer
$\int\;\large\frac{1}{1+cos x} \;dx$
jeemain
math
integral-calculus
cbse
class12
ch7
ch8
easy
answered
Jan 24, 2014
by
yamini.v
1
answer
Integrate the rational functions$\;\large\frac{3x-1}{(x+2)^2}$
cbse
class12
bookproblem
ch7
sec5
q14
p322
sec-b
medium
math
answered
Jan 9, 2014
by
yamini.v
1
answer
Integrate the function $\large \frac {\log^{99} x}{x}$
cbse
class12
additionalproblem
sec-a
ch7
easy
math
answered
Dec 24, 2013
by
balaji.thirumalai
1
answer
Evaluate $\large \int \frac{2\sin 2 x -\cos x }{6-\cos^2x -4\sin x }$$dx$.
cbse
class12
additionalproblem
integral-calculus
sec-b
medium
ch7
math
answered
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate: $\large \int \frac {1 + \tan^2 x} {\sqrt (1 - \tan^2 x)}\; $$dx$
integral-calculus
math
cbse
ch7
sec-a
class12
medium
additionalproblem
jeemain
mock
answered
Dec 22, 2013
by
balaji.thirumalai
1
answer
Find the integral $\large \int \frac{\sec^2x}{\large cosec^2x}$$dx$
cbse
class12
bookproblem
ch7
sec1
q19
p299
sec-a
medium
modelpaper
2012
q10
math
answered
Dec 20, 2013
by
balaji.thirumalai
1
answer
Find the integral $\Large \int \normalsize\bigg(\sqrt x-\frac{1}{\sqrt x}\bigg)^2\;dx$
cbse
class12
bookproblem
ch7
sec1
q10
p299
sec-a
easy
math
answered
Nov 7, 2013
by
pady_1
1
answer
Integrate the function $\int\large\frac{2+\sin2x}{1+\cos2x}$$e^x$
cbse
class12
bookproblem
ch7
misc
q21
p352
sec-b
medium
math
answered
Sep 12, 2013
by
sreemathi.v
1
answer
$\int \large\frac{(2\sin 2x-\cos x)}{(6-\cos 2x -4\sin x) }$$dx$
math
cbse
xii
ch7
sec-b
difficult
additionalproblem
answered
Sep 12, 2013
by
sreemathi.v
1
answer
Evaluate the integral using substitution $\int\limits_0^2 x\sqrt{x+2}\;(Put\;x+2=t^2)$
cbse
class12
bookproblem
ch7
sec10
q4
p340
sec-a
medium
math
answered
Sep 12, 2013
by
sreemathi.v
1
answer
Integrate the function $\sin^{-1}\bigg(\large\frac{2x}{1+x^2}\bigg)$
cbse
class12
bookproblem
ch7
sec6
q22
p328
sec-b
medium
math
answered
Sep 12, 2013
by
sreemathi.v
1
answer
By using the properties of definite integrals, evaluate the integral $\int\limits_0^\frac{\Large \pi}{\Large 2}(2 \log \sin x-\log \sin 2x)\;dx$
cbse
class12
bookproblem
ch7
sec11
q10
p347
sec-b
medium
modelpaper
2012
q27
math
answered
Sep 11, 2013
by
sreemathi.v
1
answer
Find the integral $ \LARGE {\int } \normalsize \frac{\large x^3-x^2+x-1}{\large x-1}\;dx$
cbse
class12
bookproblem
ch7
sec1
q13
p299
sec-a
math
answered
Sep 10, 2013
by
sreemathi.v
1
answer
Evaluate $ \large \int\limits_0^1e^{2-3x}\;$$dx\;$ as a limit of a sum
cbse
class12
bookproblem
ch7
misc
q40
p353
sec-c
difficult
math
answered
Sep 10, 2013
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
answered
Sep 10, 2013
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
answered
Sep 10, 2013
by
sreemathi.v
1
answer
Evaluate the definite integrals $\int\limits_0^{\pi}\large\frac{x\tan x}{\sec x+\tan x}$$\;dx$
cbse
class12
bookproblem
ch7
misc
q32
p353
sec-b
difficult
math
answered
Sep 10, 2013
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{x^2+x+1}{(x+1)^2(x+2)}$
cbse
class12
bookproblem
ch7
misc
q22
p352
sec-b
medium
math
answered
Sep 10, 2013
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{\sin^{-1}\sqrt x-\cos^{-1}\sqrt x}{\sin^{-1}\sqrt x+\cos^{-1}\sqrt x},$$x\;\in\;[0,1]$
cbse
class12
bookproblem
ch7
misc
q19
p352
sec-b
difficult
math
answered
Sep 10, 2013
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
answered
Sep 10, 2013
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
answered
Sep 10, 2013
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
answered
Sep 10, 2013
by
sreemathi.v
1
answer
Find the integral $\int(2x-3cos\: x+e^x)\;dx$
cbse
class12
bookproblem
ch7
sec1
q16
p299
sec-a
easy
math
answered
Sep 6, 2013
by
meena.p
1
answer
Find the integral $\displaystyle\int\frac{\large x^3+5x^2-4}{\large x^2}\;dx$
cbse
class12
bookproblem
ch7
sec1
q11
p299
sec-a
easy
math
answered
Sep 6, 2013
by
meena.p
1
answer
If $\large \frac{x^3dx}{\sqrt{1-x^2}}=\normalsize a(1-x^2)^{\Large\frac{3}{2}}+b\sqrt{1-x^2}+C$,then
cbse
class12
ch7
q56
p168
objective
exemplar
sec-b
easy
math
answered
May 23, 2013
by
sreemathi.v
1
answer
Evaluate the following:$\int\limits_{\Large \frac{\pi}{3}}^{\Large \frac{\pi}{2}}\large\frac{\sqrt{1+\cos x}}{(1-\cos x)^{\large\frac{5}{2}}}$
cbse
class12
ch7
q41
p166
exemplar
sec-b
difficult
math
answered
May 21, 2013
by
sreemathi.v
1
answer
Evaluate the following:$\int\limits_ {\Large\frac{-\pi}{4}}^{\Large\frac{\pi}{4}} \log(\sin x+\cos x)dx$
cbse
class12
ch7
q47
p166
exemplar
sec-c
difficult
math
answered
May 15, 2013
by
sreemathi.v
1
answer
Evaluate: $ \int \limits _0 ^{\pi} log(1+\cos x)dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
sec-b
q71
p28
math
answered
May 7, 2013
by
meena.p
1
answer
Evaluate: $\int\limits_0^ a \frac{dx}{x+\sqrt {a^2-x^2}}$
cbse
class12
additionalproblem
sec-b
kvquestionbank2012
ch7
q85
p29
math
answered
May 6, 2013
by
meena.p
1
answer
Evaluate $\int \limits_0^ 1 x(1-x)^n dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q73
p29
jeemain
medium
integral-calculus
math
answered
May 6, 2013
by
meena.p
1
answer
Evaluate:$\int\limits _0 ^{\pi} \large\frac {x \sin x}{1+\cos ^2 x}$$dx$
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q70
p28
math
answered
May 6, 2013
by
meena.p
1
answer
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