Recent questions tagged integration-by-subsitution

Evaluate $ \large \int \limits_{\normalsize 0}^{\frac{\pi}{2}}$$ \bigg (\sqrt {\tan x} + \large\frac{1}{\sqrt {\tan x} }$$\bigg)\;$$ dx$

asked Mar 20, 2014 by balaji.thirumalai

1 answer

Integrate : $\int \sec^2 x \log (\tan x) .dx$

asked Jan 3, 2014 by meena.p

1 answer

Integrate : $\int \frac{y}{9}$$t \tan (t^2)dt$

asked Jan 3, 2014 by meena.p

1 answer

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

asked Jan 3, 2014 by meena.p

1 answer

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

asked Jan 2, 2014 by meena.p

1 answer

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

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \large\frac{7}{5}$$ \log _e(\large e^{x^3}) dx$

asked Jan 2, 2014 by meena.p

1 answer

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

asked Jan 2, 2014 by meena.p

1 answer

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

asked Jan 2, 2014 by meena.p

1 answer

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

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $ \int \cos^{-1} \sqrt {\large\frac{x}{a+x}}$$dx$

asked Jan 2, 2014 by meena.p

1 answer

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

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{5-4 \sin x} $$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sin 4x}{\sqrt {8+\sin ^4 2x}}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

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

asked Dec 31, 2013 by meena.p

1 answer

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

asked Dec 31, 2013 by meena.p

1 answer

$f(x) =\int \large\frac{x^6+1}{x^2+1}$$dx+c,$ then find $f(0)-C=?$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{(\log_ex)^2+1}$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int x^{\tan x }\bigg[\large\frac{\tan x}{x} $$+ \sec^2 x . \log x \bigg]$$dx$

asked Dec 31, 2013 by meena.p

1 answer

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

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{dx}{(x-p) \sqrt {(x-p)} \sqrt {x-q}}$

asked Dec 31, 2013 by meena.p

1 answer

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

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{3}{7} .\frac{2^{\Large \log e^{x^2}}}{x}.$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\cos^2 x}{\sin ^4 x }$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $ \int \large\frac{7}{3} \bigg( \frac{1}{x}-\frac{1}{x^2 }\bigg)$$ \times a (\log x + \large\frac{1}{x} ) $$dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate: $\int -cosec ^2 (\log x ) + \cot (\log x) dx$

asked Dec 30, 2013 by meena.p

1 answer

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

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{5}{8}.x.e{^{\Large x^2}}. \sec (e^{\Large x^2}).\tan (e^{x^2})dx$

asked Dec 30, 2013 by meena.p

1 answer

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

asked Dec 30, 2013 by meena.p

1 answer

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

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sec x cosec x}{\log (\tan x )}$$dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \sqrt {\tan \theta} . d \theta $

asked Dec 30, 2013 by meena.p

1 answer

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

asked Dec 30, 2013 by meena.p

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \sqrt {e^x-1} dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate: $ \int \sqrt {\large\frac{x}{a^3-x^3}}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $ \int e^x [\cot x + \log \sin x]dx$

asked Dec 24, 2013 by meena.p

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

Intergate : $\int \sqrt {\large\frac{x+a}{x}}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sec^4 x }{\sqrt {\tan x}}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{6}{7} . \frac {e^{\sqrt x}. \cos (e^{\sqrt x})}{\sqrt x }$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \log \large\frac{[x +\sqrt {1+x^2}]}{\sqrt {1-x^2}}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{4}{9} $$.x^{3/2}. \sin (x)^{5/2}dx$

asked Dec 24, 2013 by meena.p

1 answer

Intergate : $\int \large\frac{5}{7} $$ \sqrt {\cos (7x)}. \sin 7x dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{ax^{a-1}+a^x \log a}{x^a+a^x}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{7}{9} \times \frac{e^{\Large \tan ^{-1}(x^4)}}{(1+x^8)} $$\times x^3 dx$

asked Dec 24, 2013 by meena.p

1 answer

integrate : $\int (x^3-1)^{\large\frac{1}{3}}.x^5$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \cos^3 x \sin ^2 x dx$

asked Dec 24, 2013 by meena.p

1 answer

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