Recent questions in Integrals

Evaluate the following: $\displaystyle\int\frac{2x-1}{(x-1)(x+2)(x-3)}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\int\limits_0^{\Large\pi} \large \frac{x}{1+\sin x}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\displaystyle\int\frac{x^2dx}{(x^2+a^2)(x^2+b^2)}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\displaystyle\int\frac{x^2dx}{x^4-x^2-12}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\int\limits_0^{\Large \frac{1}{2}}\frac{dx}{(1+x^2)\sqrt {1-x^2}}$ $(Hint:let\;x=\sin\theta)$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\int\limits_0^\pi x\sin x\cos^2xdx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\int\limits_0^1\frac{xdx}{\sqrt{1+x^2}}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\int\limits_1^2\frac{dx}{\sqrt{(x-1)(2-x)}}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\int\limits_0^{\Large \frac{\pi}{2}}\Large \frac{\tan xdx}{1+m^2\tan^2x}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following: $\int\limits_0^1\frac{dx}{e^x+e^{-x}}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following as limits of sums: $\int\limits_0^2e^xdx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following as limits of sums: $\int\limits_0^2(x^2+3)dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\displaystyle\int\frac{dx}{x\sqrt{x^4-1}}\;(Hint:Put\;x^2=\sec\theta)$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\displaystyle\int\frac{\cos x-\cos 2x}{1-\cos x}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\frac{\sqrt x}{\sqrt{a^3-x^3}}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following : $\begin{align} \int \frac{\sin^6x+\cos^6x}{\sin^2x \cos^2x}dx \end{align}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\frac{(\cos 5x+\cos 4x)}{1-2\cos 3x}dx$

asked Jan 14, 2013 by sreemathi.v

0 answers

Evaluate the following $\int\frac{\sin^{-1}x}{(1-x^2)^{\frac{3}{2}}}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\sqrt {2ax-x^2}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\frac{x^2}{1-x^4}dx\;put\;x^2=t$

asked Jan 14, 2013 by sreemathi.v

0 answers

Evaluate the following $\int\frac{x}{x^4-1}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\sqrt {5-2x+x^2}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\frac{3x-1}{\sqrt{x^2+9}}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\frac{dt}{\sqrt {3t-2t^2}}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\displaystyle\int\frac{dx}{\sqrt {16-9x^2}}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\frac{\sqrt{1+ x^2}}{x^4}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\large\int\frac{ x^{\frac{1}{2}}}{1+x^{\frac{3}{4}}}dx$ $(Hint:Put\;x=z^4)$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\sqrt{\frac{a+x}{a-x}}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\displaystyle\int \large \frac{( x)}{\sqrt x+1}$ $dx \quad(Hint:Put\;\sqrt x=z)$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\sqrt{1+\sin x}\;dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\frac{(\sin x+\cos x)}{\sqrt {1+\sin 2x}}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\tan^2 x\sec^4 x\;dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\int\frac{dx}{1+\cos x}$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\large\int\frac{(1+\cos x)}{x+\sin x}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\displaystyle\int\frac{e^{6log x}-e^{5log x}}{e^{4log x}-e^{3log x}}$ $dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Evaluate the following $\displaystyle\int\frac{(x^2+2)}{x+1}dx$

asked Jan 14, 2013 by sreemathi.v

1 answer

Verify the following $\large\int\frac{2x+3}{x^2+3x}dx=log \mid x^2+3x\mid+C$

asked Jan 14, 2013 by sreemathi.v

1 answer

Verify the following $\int\frac{2x-1}{2x+1}dx=x-log \mid (2x+3)^2\mid+C$

asked Jan 14, 2013 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $\sin 2x$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $\cos 3x$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $e^{2x}$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $(ax+b)^2$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $\sin2x-4e^{3x}$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\int(4\;e^{3x}+1)\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\int x^2(1-\frac{1}{x^2})\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\int(ax^2+bx+c)\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\int(2x^2+e^x)\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\Large \int \normalsize\bigg(\sqrt x-\frac{1}{\sqrt x}\bigg)^2\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\displaystyle\int\frac{\large x^3+5x^2-4}{\large x^2}\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\int\frac{\large x^3+3x+4}{\large \sqrt x}\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

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