Recent questions tagged integration

When evaluating definite integrals for odd functions the answer will come as 0 as equal areas symmetric to x-axis will cancel out and give 0.But then should we take the m...

$\int_{-4}^{4}\left | x-3 \right |dx$

Find the value of the integral $$\int_{0}^{\pi/6}cos^43\theta\ sin^36\theta\ d\theta$$Please show the steps.(upload a pic of your solution)a) 0b) 1/15c) 8/3d) 1

$\int_{0}^{\frac{\pi }{2}}\frac{cosx}{2\sqrt{1-sinx}}dx=?$

Value of an Integral :I = $\frac{1}{\sqrt{2\Pi }} \int_{0}^{\infty } e^{\frac{-x^{2}}{8}}dx$Answer given is 1.

$\int_{-4}^{4}|3-x|dx$a) 13 b)8 c)25 d)24

$f(x) = \int_{- \infty}^{\infty} f(x) e^{2\pi x} dx$solve f(x)

Let $X =\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+\ldots+\frac{1}{3001}$. Then$X< 1$$X>\frac{3}{2}$$1< X< \frac{3}{2}$none of the above

what is the integration of this funcion? f(x)=1−|x| where −1≤x≤1

Evaluate the following definite integral :$\int \limits_0^1 \log \left(\frac{1}{x} - 1 \right)$

My answer is coming 0. Please explain.

The volume generated by revolving the area bounded by parabola y^2 = 8x and the line x = 2 about y-axis is....A) 128π/5B) 5/128πC) 127/5πD) NoneEDIT: Following is the are...

If for non-zero $x, \: af(x) + bf(\frac{1}{x}) = \frac{1}{x} - 25$ where $a \neq b \text{ then } \int\limits_1^2 f(x)dx$ is$\frac{1}{a^2 - b^2} \begin{bmatrix} a(\ln 2 - ...