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Recent questions tagged p353

Integrate the function\[\int\tan^{-1}\sqrt{\frac{1-x}{1+x}}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Integrate the function\[\int\frac{\sqrt{x^2+1}[log(x^2+1)-2logx]}{x^4}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals\[\int\limits_\frac{\pi}{2}^\pi e^x\bigg(\frac{1-\sin x}{1-\cos x}\bigg)dx\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{4}\frac{\sin x\cos x}{\cos^4x+\sin^4x}dx\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{2}\frac{\cos^2xdx}{\cos^2x+4\sin^2x}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals\[\int\limits_\frac{\pi}{6}^\frac{\pi}{3}\frac{\sin x+\cos x}{\sqrt{\sin2x}}dx\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals\[\int\limits_0^1\frac{dx}{\sqrt{1+x}-\sqrt x}\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{4}\frac{\sin x+\cos x}{9+16\sin 2x}\;dx\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{2}\sin 2x\tan^{-1}(sin x)\;dx\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals $\int\limits_0^{\pi}\large\frac{x\tan x}{\sec x+\tan x}$$\;dx$

asked Dec 2, 2012 by sreemathi.v

1 answer

Evaluate the definite integrals: $\int\limits_1^4 [\; |x-1|+|x-2|+|x-3|\;]dx$

asked Dec 2, 2012 by sreemathi.v

1 answer

Prove the following\[\int\limits_1^3\frac{dx}{x^2(x+1)}=\frac{2}{3}+log\frac{2}{3}\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Prove the following\[\int\limits_0^1x\;e^x\;dx=1\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Prove the following\[\int\limits_{-1}^1x^{17}\cos^4x\;dx=0\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Prove the following\[\int\limits_0^\frac{\pi}{2}\sin^3x\;dx=\frac{2}{3}\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Prove the following\[\int\limits_0^\frac{\pi}{4}2\tan^3x\;dx=1-log2\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Prove the following\[\int\limits_0^1\sin^{-1}x\;dx=\frac{\pi}{2}-1\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Evaluate $ \large \int\limits_0^1e^{2-3x}\;$$dx\;$ as a limit of a sum

asked Dec 2, 2012 by sreemathi.v

1 answer

Choose the correct answers in $\int\frac{dx}{e^x+e^{-x}}$ is equal to

asked Dec 2, 2012 by sreemathi.v

1 answer

Choose the correct answers in $\int\frac{\large \cos 2x}{\large (\sin x+\cos x)^2}dx$ is equal to

asked Dec 2, 2012 by sreemathi.v

1 answer

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