Definite integral question

Quote:

Originally Posted by

**Chris L T521** For this to be a pdf, $\displaystyle \int_{-\infty}^{\infty}P\left(x\right)\,dx=1$

Thus, solve the equation $\displaystyle \int_{-\infty}^{\infty} k\left(1-x^3\right)\,dx=1\implies \int_0^1 k\left(1-x^3\right)\,dx=1$ for k.

Can you take it from here?

see this question below(integration)They are asking that the integral be evaluated.

is the procedure just like what we did(integration in the above question?)

$\displaystyle \int_{0}^{1}\frac{1}{x^{2}+3x+2}dx=\int_{0}^{1}\fr ac{1}{x+1}dx-\int_{0}^{1}\frac{1}{x+2}dx$