`int_(a)^(b) x^8 dx`

int_(a)^(b)cos x dx

Prove that the equality int_(a)^(b) f(x) dx = int_(a)^(b) f(a + b - x) dx

Prove that int_(a)^(b) f(x) dx= int_(a)^(b) f(a+b-x) dx

int_(a)^(b) sin x dx

If int_(a)^(b)x^(3) dx = 0 and int_(a)^(b) x^(2) dx = 2/3 then what are the values of a and b respectively ?

If int_(a)^(b)|sin x|dx=8 and int_(0)^(a+b)|cos x|dx=9 then find the value of int_(a)^(b)x sin xdx

If int_(a)^(b)x^(3)dx=0, and If int_(a)^(b)x^(2)dx=(2)/(3), find a and b.