T int_(-1)^(1)|2x+1|dx

Evaluate : (i) int_(-pi//2)^(pi//2)|sinx|dx (ii) int_(-1)^(1)e^(|x|)dx (iii) int_(-2)^(1)|2x+1|dx .

int_(-1)^(1)|2x+1|dx=(5)/(2)

int_(1)^(2)|2x-1|dx

int_(-1)^(1)e^(2x)dx

Evaluate: int_(0)^(1)|5x-3|dx( ii) int_(0)^( pi)|cos x|dx( iii) int_(-5)^(5)|x-2|dx( iv )int_(-1)^(1)e^(|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)^(3)(2x+1)dx

int_(n)^(n+1)f(x)dx=n^(2)+n then int_(-1)^(1)f(x)dx=

int_(0)^( If )(f(t))dt=x+int_(x)^(1)(t^(2)*f(t))dt+(pi)/(4)-1 then the value of the integral int_(-1)^(1)(f(x))dx is equal to

int_(-1)^(1)(x-[2x])dx=

int_(-1)^(2)(|x+1|+|x|+|x-1||dx