Recent questions and answers in Integral Calculus

What is $\displaystyle \int \frac {(x^2 +1)(x^2+2)}{(x^2+3)(x^2+4)} dx $ ?

answered Dec 13, 2018 by nikhilgautam7000

1 answer

$\int \limits_0^{\pi} (x.sinx.sinx.cosx)dx$

answered Apr 9, 2015 by pady_1

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$

answered 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$

answered 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 $p \gt -1$

answered Mar 20, 2014 by balaji.thirumalai

1 answer

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

answered Jan 3, 2014 by meena.p

1 answer

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

answered Jan 3, 2014 by meena.p

1 answer

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

answered Jan 3, 2014 by meena.p

1 answer

Integrate : $\cos ^3 x dx$

answered Jan 3, 2014 by meena.p

1 answer

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

answered 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$

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

Integrate : $\int e^{2x} \cos 5x dx$

answered 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?

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer

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

answered Jan 2, 2014 by meena.p

1 answer