(11) `int_(2)^(4)|x-1|dx`

int_(2)^(4) x dx

(3) (a) int_(0)^(2)(x^(4)+1)dx

Let I_(1)=int_(0)^(1)(|lnx|)/(x^(2)+4x+1)dx and I_(2)=int_(1)^(oo)(lnx)/(x^(2)+4x+1)dx , then

Evaluate: int_0^1|5x-3|dx (ii) int_0^pi|cosx|dx (iii) int_(-5)^5|x-2|dx (iv) int_(-1)^1e^(|x|)dx (v) int_0^2|x^2+2x-3|dx (v) int_1^4(|x-1|+|x-2|+|x-3|)dx (vi) int_(-1)^2|x^3-x|dx

int_(-1)^(1)(3x+4)dx

int(x^2)/(1-x^4)dx

int(2x^4+5)/(x^2+1)dx

Suppose for every integer n, .int_(n)^(n+1) f(x)dx = n^(2) . The value of int_(-2)^(4) f(x)dx is :

int_0^4 (2x-1) dx

int(2x^(2)+4x+1)^(2)dx