Match the following

List-I		List-II
(P)	The number of polynomials f(x) with non-negative integer coefficients of degree $\le 2$, satisfying  f(0)=0 and $\underset{0}{\overset{1}{\int }}f\left(x\right)dx=1$, is	(1)	8
(Q)	The number of points in the interval $[-\sqrt{13},\sqrt{13}]$ at which $f\left(x\right)=\sin \left(x^2\right)+\cos \left(x^2\right)$ attains its maximum value , is	(2)	2
(R)	$\underset{-2}{\overset{2}{\int }}\frac{3x^2}{(1+e^x)}dx$ equals	(3)	6
(S)	$\frac{\left({\displaystyle \underset{-1/2}{\overset{1/2}{\int }}\cos 2x.\log \left(\frac{1+x}{1-x}\right)dx}\right)}{\left({\displaystyle \underset{0}{\overset{1/2}{\int }}\cos 2x.\log \left(\frac{1+x}{1-x}\right)dx}\right)}$equals	(4)	0
		(5)	4

 

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