Recent questions tagged integral-calculus

Integrate : $\int x^5 \sec^2 (7x^6+9) dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sqrt {\cos^{-1}(4x)}}{\sqrt {1-16x^2}}$$dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $ \int x^2. e^{\Large x^3}. \cos (e^{\Large x^3}).dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sin 2x }{a \cos ^2 x + b \sin ^2 x }$$dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate: $ \int \large\frac{x^3 \tan ^{-1} x^4 }{1+x^8}$$dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $ \int \sec^4 x dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate: $ \int \large\frac{dx}{x \sqrt {1-x^3}}$$= a \log \bigg| \large\frac{\sqrt {1-x^3}-1}{\sqrt {1-x^3}+1}\bigg|$ find the value of a

asked Dec 23, 2013 by meena.p

1 answer

If $y(x) = \Large \int \limits_{\frac{\pi^2}{16}}^{\normalsize x^2} \large\frac{\cos x . \cos \sqrt \theta d\theta}{1+\sin^2 \sqrt \theta}$, find $\;y'(\pi)$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $ \int \sqrt {\tan x }+ \sqrt {\cot x }dx$

asked Dec 23, 2013 by meena.p

1 answer

Evaluate $ \Large \int $$ \large \frac{\log x }{(1+\log x)^2}$$dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $ \int \large\frac{1}{\cos x - \sin x}$$dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \sqrt {(\sec x -1)}.dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int a^{\large a^{\Large a^{\Large a^{x}}}}.a^{\large a^{\Large a^{x}}}.a^{a^{x}}.a^{x}$$.dx$

asked Dec 23, 2013 by meena.p

1 answer

Find the area enclosed by the curve $y^2+1=x,x\leq 2$ and the line $x=2$.

asked Dec 22, 2013 by balaji.thirumalai

1 answer

Evaluate $\large \int \frac{2\sin 2 x -\cos x }{6-\cos^2x -4\sin x }$$dx$.

asked Dec 22, 2013 by balaji.thirumalai

1 answer

Evaluate: $\large \int \frac {1 + \tan^2 x} {\sqrt (1 - \tan^2 x)}\; $$dx$

asked Dec 22, 2013 by balaji.thirumalai

1 answer

Integrate : $ \int \large\frac{x^{e-1}+e^{x-1}}{x^e+e^x}$$dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{x \log _e x \log ( \log _e x)}$$ dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sin x}{\sin (x-\alpha)}$$dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\sin ^2 x \cos ^2 x} $$dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{(a^x -b^x)}{a^x b^x}$$dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\large\frac{1+ \cos 4x }{\cot x - \tan x }$$dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\cos 2x - \cos 2 \alpha}{\cos x - \cos \alpha}$$ dx $

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\frac{\pi}{2}} \sin^{\frac{3}{4}} \cos ^3 x dx$

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int \limits _0^8 \tan ^{-1} x.dx$

asked Dec 20, 2013 by meena.p

1 answer

$I=\int \limits_0^{\frac{\pi}{2}} \sin ^4 x \cos^2 x dx$ find the value of I

asked Dec 20, 2013 by meena.p

1 answer

$I= \int \sin ^3 x \sin 2x dx$ Find the value of I

asked Dec 20, 2013 by meena.p

1 answer

$I= \int \limits_0^1 \int x^5 (1-x^2)^{\frac{3}{2}}dx$ Find the value of I

asked Dec 20, 2013 by meena.p

1 answer

$I= \int \limits_0^{\frac{\pi}{6}} \cos ^5 3 \theta . \sin ^3 6 \theta d \theta$ Find the value of I.

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int \limits _0^{\frac{\pi}{4}} \large\frac{\sin 5 x}{\cos 7x}$$dx$

asked Dec 20, 2013 by meena.p

1 answer

Integrate :$\int \limits_0^{\frac{\pi}{4}}$$ \large\frac{\sin ^3 x}{\cos ^7 x}$$dx$

asked Dec 20, 2013 by meena.p

1 answer

$ I= \int \limits_0^{\frac{\pi}{2}} \cos ^3 x dx$

asked Dec 20, 2013 by meena.p

1 answer

$I= \int \limits_0^{\frac{\pi}{2}} \sin ^2 x dx $ find the value of I

asked Dec 20, 2013 by meena.p

1 answer

Find the value of $ \int \limits _0^{\infty} \large\frac{\tan^{-1} (ax)}{x(1+x^2)}$$dx$

asked Dec 20, 2013 by meena.p

0 answers

Find value of $\int \limits_0^1 \large\frac{x^{\alpha}-1}{\log x}$$dx \qquad \alpha \geq 0$

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int (x+1)^2$

asked Dec 20, 2013 by meena.p

0 answers

Integrate : $\int \cos (4x+5) dx$

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int a ^{\log ax}. \sin b dx $

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int \log (\sin x ) \cos x dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\tan ^{-1} (e^x)}{1+(e^x)^2}.e^x\;dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $ \int e^{ \log a }. x^e. dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\tan^{-1} x}{1+x^2}$$ dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{(4 \cos ^3 x -3 \cos x)^2}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{3 \tan ^2 [1+\log(x^2)]}{x}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{e^x + \cos x }{e^x+ \sin x} $$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sec^2 x }{\sqrt {\tan x} }$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{3x+1}{(3x^2+2x+1)^2}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large \frac{e^{\Large a \sin ^{-1} x}}{\sqrt {1-x^2}}$$.dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \sqrt x e^{\large (x)^{3/2}} \cos (e^{\large(x)^{3/2}}. dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \sin 4x \cos 4x\;dx$

asked Dec 19, 2013 by meena.p

1 answer

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