`int_(b)^( a)x^(2)dx=`

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

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 ?

Evaluate int_(a)^(b)x^(2)dx as limit of the sum.

If int _(a)^(b) x^(3) dx = 0 and if int _(a)^(b) x^(2) dx = 2/3 , then the values of a and b respectively are

If f(a+b-x)=f(x), then prove that int_(a)^(b)xf(x)dx=(a+b)/(2)int_(a)^(b)f(x)dx

Let f(x) and g(x) be any two continuous function in the interval [0, b] and 'a' be any point between 0 and b. Which satisfy the following conditions : f(x)=f(a-x), g(x)+g(a-x)=3, f(a+b-x)=f(x) . Also int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx, int_(a)^(b)f(x)dx=int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx If int_(0)^(a//2)f(x)dx=p," then "int_(0)^(a)f(x)dx is equal to