" 1."int0int x^(4)dx=

if int_0^1 f(x)dx=1,int_0^1 xf(x)dx=a and int_0^1 x^2f(x)dx=a^2 , then int_0^1(a-x)^2f(x)dx is equal to

(i) int_4^5 1dx (ii) int_-1^2 x dx (iii) int_0^4 x^(1//2) dx (iv) int_0^4 x^(3//2) dx (v) int_0^8 x^(5//3) dx

18.int_(0)^(4)|x-1|dx

int_(0)^(4) |x-1|dx

Evaluate each of the following integrals: int x^(4)dx( ii) int x^(5/4)dx (iii) int(1)/(x^(5))dx( iv )int(1)/(x^(3)/2)dx

If int_0^1 f(x) dx = 1, int_0^1 xf(x) dx = a, int_0^1 x^2 f(x) dx = a^2 , then int_0^1 (a - x)^2 f(x) dx is equal to :

int_0^4 (2x-1) dx

(i) int_0^4 (x+1)dx (ii) int_0^5 (x+1)dx (iii) int_0^3 (x+4) dx

(i) int_0^1 (dx)/sqrt(1-x^2) (ii) int_0^1 (dx)/sqrt(1+x^2) (iii) a int_1^sqrt3 (dx)/(1+x^2) b int_0^1 (dx)/(1+x^2) (iv) int_0^(2//3) (dx)/(4+9x^2) (v) int_0^1 x/(x^2+1)dx (vi) int_2^3 x/(x^2+1) dx