Recent questions tagged integral-calculus

$∫ e^{tan^{-1}x}\bigg(\large\frac{1+x+x^2}{1+x^2}\bigg)$$dx$

asked Sep 23, 2015 by ujjwal.garg15

1 answer

The integral $\large\int ($ $1+x- \large\frac{1}{x})$$e^{x+\large\frac{1}{x}}$$dx$ is equal to

asked Apr 6, 2014 by balaji.thirumalai

0 answers

The integral $\Large \int \limits_{\normalsize 0}^{\normalsize \pi} $$ \sqrt{1 + 4 \sin^2\large\frac{x}{2} \normalsize- \normalsize 4 \normalsize\sin \large\frac{x}{2}}$$\;dx$

asked Apr 6, 2014 by balaji.thirumalai

0 answers

Integrate : $\int \large\frac{ax^3+bx+c}{\sqrt x}$$dx$

asked Mar 26, 2014 by balaji.thirumalai

1 answer

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

Evaluate $\displaystyle \lim_{n \rightarrow \infty} \bigg[ \large\frac{1^p + 2^p + 3^p....+ n^p}{n^{p+1}} \bigg ] $, where $p \gt -1$

asked Mar 20, 2014 by balaji.thirumalai

1 answer

$\int\;\large\frac{a\sin x+6}{cos^2x}$$dx$

asked Jan 27, 2014 by priyakarthick05_1

1 answer

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

asked Jan 24, 2014 by yamini.v

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 : $\cos ^3 x dx$

asked Jan 3, 2014 by meena.p

1 answer

Integrate : $\int \large\frac{5}{7} $$\sin (3x+7) \cos (3x+7) dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \large\frac {\sin ^6 x +\cos ^6 x }{\sin ^2 x \cos ^2 x }$$dx$

asked Jan 2, 2014 by meena.p

1 answer

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

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \large\frac{1}{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{x^5 +x^3+1}{x^2}$$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 : $\int e^{2x} \cos 5x dx$

asked Jan 2, 2014 by meena.p

1 answer

$\int \large\frac{2x^2+3}{(x^2-1)(x^2+4)}$$dx=a \log \bigg(\large\frac {x+1}{x-1} \bigg)+6 \tan ^{-1} \bigg( \large\frac{x}{2}\bigg)+c$ find the value of a and b?

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 : $\int x\bigg( \large\frac{\sec 2x -1}{\sec 2x+1}\bigg) dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \log _a x dx$

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{1}{\Large\frac{\sqrt 3}{2} \sin x + \cos 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 \large\frac{1}{4x^2-6x+7}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

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

asked Dec 31, 2013 by meena.p

1 answer

Integrate: $\int (2x-7) \sqrt {5x+2} dx$

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 e^x \large\frac{(x+6)}{(x+7)^2}$$dx$

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 : $\int \large\frac{3x^2+5}{(x^2+1)(x^2+4)}$

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 : $\int \limits_0^1 (x^3-x^2-x-1) . \sin x dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $ \int \limits_0^1 x^4.e^x.dx$

asked Dec 31, 2013 by meena.p

1 answer

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

Ask Questions, Get Answers