Recent questions tagged integral-calculus

Integrate : $\large\frac{(1+ \log x)^4}{x}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\tan^2 (\sqrt x)}{\sqrt x}$$.dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate: $ \int \sqrt {x^2+4x+4}.dx$

asked Dec 19, 2013 by meena.p

1 answer

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

asked Dec 19, 2013 by meena.p

1 answer

integrate : $\int \sec^3 x dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $ \int \sin ^3 x .dx$

asked Dec 19, 2013 by meena.p

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Integrate :$\int \sqrt {4x-x^2}dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $ \int \large\frac{8}{9} \frac{x}{\sqrt {1-x^4}}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

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

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $ \int e^x (a e^x+b)^n. dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $ \int \sqrt{\sin ^3 x}. \cos x \;dx$

asked Dec 19, 2013 by meena.p

1 answer

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

asked Dec 19, 2013 by meena.p

1 answer

Integrate: $\int \large\frac{\Large e^{\tan ^{-1}(m)}}{1+m^2}$$.dm$

asked Dec 19, 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

$f'(x) = a \cos x + b \sin x ;\; f'(0)=4;\; f(0)=3;\; f \bigg(\large\frac{\pi}{2}\bigg)$$=5$. Find the value of $\;f(x)\;$?

asked Dec 19, 2013 by meena.p

1 answer

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

asked Dec 18, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{x^5+1}{x^2+1}$$dx$

asked Dec 18, 2013 by meena.p

1 answer

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

asked Dec 18, 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 : $\int \sin ^2 x. \cos ^2 x \;dx$

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 : $\int (1+2x) (3+4x) .dx$

asked Dec 18, 2013 by meena.p

1 answer

Integrate : $ \int \large\frac{ e^{5x}+e^{-7x}}{e^{2x}}$$dx$

asked Dec 18, 2013 by meena.p

1 answer

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

asked Dec 18, 2013 by meena.p

1 answer

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

asked Dec 18, 2013 by meena.p

1 answer

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

asked Dec 17, 2013 by meena.p

1 answer

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

asked Dec 17, 2013 by meena.p

1 answer

Integrate : $ \int \large\frac{1}{(x)^{5/2}}$$dx$

asked Dec 17, 2013 by meena.p

1 answer

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

asked Dec 17, 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

Integrate :$\int \large\frac{1}{1+\cos 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

$\int \limits_0^a x dx < a+4$ then

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}{4}} \large\frac{\sec x cosec x}{\log (\tan x)}$$dx$

asked Dec 17, 2013 by meena.p

1 answer

$\int \limits _0^{\omega} \large\frac{x^2}{(x^2+a^2) (x^2+b^2) (x^2+c^2)}$$dx= \large\frac{\pi}{2(a+b)(b+c)(c+a)}$ then find $\int \limits _0^{\omega} \large\frac{dx}{(x^2+4)(x^2+g)}$

asked Dec 17, 2013 by meena.p

1 answer

$\int \limits_1^6 (6-4x) dx \leq 6-5b \;\&\;6 > 1$ Find 'b' value

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

$\int \limits_{-\pi}^{\pi} (\cos px - \sin q x)^2 dx$ where $p \;\&\; q$ are whole number. Find its value.

asked Dec 17, 2013 by meena.p

1 answer

Integrate: $\int \limits_0^{\rho} \large\frac{y.dy}{\sqrt {y+\rho}}$

asked Dec 17, 2013 by meena.p

1 answer

Integrate: $\int \limits_0^{\rho} \large\frac{y.dy}{\sqrt {y+\rho}}$

asked Dec 17, 2013 by meena.p

0 answers

Integrate: $ \int\limits _0^{\pi} e^x \sin x dx$

asked Dec 17, 2013 by meena.p

1 answer

If $g(x) =\large\frac{f(x) +f(-x)}{2}$ defined over $[-3,3]$ and $f(x)=2x^2-4x+1$ then $\int \limits_{-3}^3=?$

asked Dec 17, 2013 by meena.p

1 answer

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

asked Dec 16, 2013 by meena.p

1 answer

Integrate: $\int \limits_{0}^{\large\frac{\pi}{2}} \large\frac{\cos x}{(1+\sin x)(2+ \sin x)}$$ dx $

asked Dec 16, 2013 by meena.p

1 answer

if $h(a)=h(b) $ then $ \int \limits_a^b [f(g(h(x)))]^{-1} . f ' (g (h(x)))g ' (h(x)).h'(x) dx=?$

asked Dec 16, 2013 by meena.p

1 answer

Suppose f is such , that $f(-x) =-(x) $ for every real x and $\int\limits_0^1 f(x)x=5$ then $\int \limits _{-1}^0 =?$

asked Dec 16, 2013 by meena.p

1 answer

Integrate: $\int \limits_0^{\large\frac{2}{3}}$$ \large\frac{dx}{4+ 9x^2}$

asked Dec 16, 2013 by meena.p

1 answer

Integrate: $Un =\int \limits_0^{\large\frac{\pi}{4}} \tan ^n x dx$, find $U_n+U_{n-2}$

asked Dec 16, 2013 by meena.p

1 answer

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