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Questions >> CBSE XII >> Math >> Integrals

Integrate the rational functions $\frac{3x-1}{(x-1)(x-2)(x-3)}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{x}{(x-1)(x-2)(x-3)}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{2x}{x^2+3x+2}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{1-x^2}{x(1-2x)}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{x}{(x^2+1)(x-1)}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{x}{(x-1)^2(x+2)}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{3x+5}{x^3-x^2-x+1}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{2x-3}{(x^2-1)(2x+3)}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{5x}{(x+1)(x^2-4)}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{x^3+x+1}{x^2-1}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{2}{(1-x)(1+x^2)}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\;\large\frac{3x-1}{(x+2)^2}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{1}{x^4-1}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{1}{x(x^n+1)}$ $Hint:multiply\;numerator\;and\;denominator\;by\;x^{n-1}and\;put\;x^n=t$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{\cos x}{(1-\sin x)(2-\sin x)}\qquad[Hint:Put\;\sin x=t]$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{(x^2+1)(x^2+2)}{(x^2+3)(x^2+4)}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{2x}{(x^2+1)(x^2+3)}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{1}{x(x^4-1)}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{1}{(e^x-1)} [Hint:Put\;e^x=\;t]$

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\Large \int \normalsize\frac{\large xdx}{\large (x-1)(x-2)}$ equals $\begin{array}{1 1}(A)\;log\mid\frac{(x-1)^2}{x-2}\mid+\: C & (B)\;log\mid\frac{(x-2)^2}{x-1}\mid+\: C\\(C)\;log\mid\bigg(\frac{x-1}{x-2}\bigg)^2\mid+\: C & (D)\;log\mid(x-1)(x-2)\mid+ \: C\end{array}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\Large \int \normalsize\frac{\large dx}{\large x(x^2+1)}$ equals

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;x\;sin\;x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x\;\sin3x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x^2e^x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x\;\log x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x\; \log2x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x^2logx$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x\;\sin^{-1}x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;x\;\tan^{-x}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x\;\cos^{-1}x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $(\sin^{-1}x)^2$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\frac{x\cos^{-1}x}{\sqrt{1-x^2}}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x\;\sec^2x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\tan^{-1}x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x(\log x)^2$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;(x^2+1)\;log\;x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $e^x(\sin x+\cos x)$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;\frac{xe^x}{(1+x)^2}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $e^x\bigg(\frac{1+\sin x}{1+\cos x}\bigg)$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $e^x \large($ $\large \frac{1}{x}$ $-\large\frac{1}{x^2})$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\frac{(x-3)e^x}{(x-1)^3}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;e^{2x}\sin\; x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sin^{-1}\bigg(\large\frac{2x}{1+x^2}\bigg)$

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\Large \int \normalsize x^2e^{x^3}\;dx$ equals

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\int e^x\sec x(1+\tan x)\;dx$ equals

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{4-x^2}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{1-4x^2}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{x^2+4x+6}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{x^2+4x+1}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{1-4x-x^2}$

asked Dec 4, 2012 by sreemathi.v

1 answer

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