Recent questions tagged integration-using-partial-fractions

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

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int e^{2x} \cos 5x dx$

asked Jan 2, 2014 by meena.p

1 answer

$\int \large\frac{2x^2+3}{(x^2-1)(x^2+4)}$$dx=a \log \bigg(\large\frac {x+1}{x-1} \bigg)+6 \tan ^{-1} \bigg( \large\frac{x}{2}\bigg)+c$ find the value of a and b?

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int x\bigg( \large\frac{\sec 2x -1}{\sec 2x+1}\bigg) dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \log _a x dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\Large\frac{\sqrt 3}{2} \sin x + \cos x }$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate: $\int (2x-7) \sqrt {5x+2} dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int e^x \large\frac{(x+6)}{(x+7)^2}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{3x^2+5}{(x^2+1)(x^2+4)}$

asked Dec 31, 2013 by meena.p

1 answer

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

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int e^x \bigg( \sin ^{-1} x +\large\frac{1}{\sqrt {1-x^2}}\bigg) dx $

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int e^x. \bigg[\large\frac{1- \sin x}{1- \cos x }\bigg].$$dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int x.2^x dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \sqrt {1+\sin x }dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sin x +\cos x }{\sqrt {\sin 2x}}$$dx$

asked Dec 30, 2013 by meena.p

1 answer

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

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \sqrt {\large\frac{1-x}{1+x}}.\frac{1}{x}$$dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate $ \int \limits _0^1 \tan ^{-1}(x^2+1-x)dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\pi/2} \bigg( \large\frac{\theta}{ \sin \theta }\bigg)^2.$$ d \theta $

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int e^x \bigg(\large\frac{2+\sin 2x}{1+ \cos 2x}\bigg)$$dx$

asked Dec 24, 2013 by meena.p

1 answer

$\int x \sin x \cos x dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $ \int \sqrt {1+ \sin 4x}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\sin (x-a) \cos (x-b)} $$ dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \tan x \tan 2x \tan 3x dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\sqrt {2x-3}- \sqrt {2x+1}}$$dx$

asked Dec 24, 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 \large\frac{1}{\cos x - \sin x}$$dx$

asked Dec 23, 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{(a^x -b^x)}{a^x b^x}$$dx$

asked Dec 21, 2013 by meena.p

1 answer

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

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{2^x+3^x}{6^x}$$dx$

asked Dec 18, 2013 by meena.p

1 answer

Integrate : $ \int \sin ^2 x \cos ^2 x \;dx$

asked Dec 18, 2013 by meena.p

1 answer

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

asked Dec 18, 2013 by meena.p

1 answer

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

asked Dec 17, 2013 by meena.p

1 answer

$I_n =\int \limits_0^{z/4} \tan ^n x \;dx$ find $I_{n-1}+I_{n+1}$

asked Dec 17, 2013 by meena.p

1 answer

Integrate : $ \int \limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \large\frac{\log (5 - \theta \sin \theta)}{\log (5+\theta \sin \theta)}$$d \theta$

asked Dec 17, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\frac{\pi}{2}} \large\frac{\phi(x)}{\phi (\Large\frac{\pi}{2}-x)+\phi (x)}$$dx$

asked Dec 17, 2013 by meena.p

1 answer

Integrate: $\int \limits_0^{2 \pi} \sqrt {1-\sin \large\frac{x}{2} } dx$

asked Dec 16, 2013 by meena.p

1 answer

Integrate: $\int \limits_{-1}^1 x |x| dx.$

asked Dec 16, 2013 by meena.p

1 answer

$\int \limits_0^1 |\sin 2zx| dx$

asked Dec 16, 2013 by meena.p

1 answer

Find $\int \limits_2^{-1} f(x) dx\;$, given $\;\int \limits_{-1}^4 f(x) dx =4$ and$\;\int \limits_2^4 [3-f(x) ] dx=7$

asked Dec 13, 2013 by meena.p

1 answer

Integrate: $\int \limits_{_z}^{z} \large\frac{2x(1+\sin x)}{1+\cos ^2 x}$$dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate :$\int \limits_6^8 \large\frac{[x^2]}{[x^2-28 x +196]+[x^2]}$$ dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $ \int \limits_3^5 \large\frac{\sqrt {\log (x)}}{\log (\theta- x)+ \log (x)}$$dx$

asked Dec 13, 2013 by meena.p

1 answer

Solve : $f(x)=\int \limits_0^2 \large\frac{\sqrt {2-x}}{\sqrt {2-x}+\sqrt {x}}dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\large\frac{\pi}{4}} $$\log |1+ \tan x| dx$

asked Dec 13, 2013 by meena.p

1 answer

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

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $ \int \limits_0^{\large\frac{\pi}{2}} max ^m \{ \sin x , \cos x \} dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $ \int \limits_0^{\large\frac{\pi}{2}} min ^m \{ \tan x , \cot x \} dx$

asked Dec 13, 2013 by meena.p

1 answer

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