Find `int_-1^1 x|x|dx`

Evaluate the following: int_-1^1 (|x|+|x-1|)dx

Find int_-1^1 x^5 e^(x^8)dx

Evaluate the following int_(-1)^(1)|x|dx .

Evaluate int_-1^1 |x|dx

Evaluate each of the following integral: int_(-1)^1x|x|dx

Evaluate int_-1^1 e^|x|dx

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

Evaluate int_-1^1 f(x)dx , f(x) = {(1,-,2x,x,le,0),(1,+,2x,x,ge,0):}

Evaluate: int_(-1)^1(x^3+|x|+1)/(x^2+2|x|+1)dx

Evaluate: int_(-1)^1(x^3+|x|+1)/(x^2+2|x|+1)dx