Match the following List I List II (P) The number of polynomial f(x) with non-negative integer coefficients of degree ≤2, satisfying f(0)=0 and \int^{1}_{0}f(x)dx=1 \text{,is} (1) 8 (Q) The number of points in the interval [-\sqrt13,\sqrt13] at which f(x)=\sin(x^2)+\cos(x^2) attains its maximum value is (2) 2 (R) \int^{2}_{-2}{3x^2}/(1+e^x)dx \text{equals} (3) 4 (S) {(\int^{1/2}_{-1/2}\cos 2x.\log(\frac{1+x}{1-x})dx)}/{(\int^{1/2}_{0}\cos 2x.\log(\frac{1+x}{1-x})dx)} (4) 0 [JEE Adv 2014 P2]

Definite Integration

Section: Mathematics

Question : 32 of 46

Marks: +1, -0

Match the following

List I

List II

(P)

The number of polynomial f(x) with non-negative integer coefficients of degree ≤2, satisfying f(0)=0 and

∫

f(x)dx=1‌,is

(1)

(Q)

The number of points in the interval [−√13,√13] at which f(x)=sin(x2)+cos(x2) attains its maximum value is

(2)

(R)

∫

−2

3x2

(1+ex)

dx‌equals

(3)

(S)

(

∫

−

cos‌2x.log(

1+x

1−x

)dx)

(

∫

cos‌2x.log(

1+x

1−x

)dx)

(4)

[JEE Adv 2014 P2]

Go to Question:

Prev Question

Next Question