` int_(0)^(a)int_(0)^(b) (x^2+y^2)dxdy`

int_(0)^(2)(x^(2)+x)dx

int_(0)^(2)int_(0)^(x)int_(0)^(y)xydxdydz

Prove that : int_(0)^(2a) f(x)dx=int_(0)^(a) f(x)dx+int_(0)^(a) f(x)dx+int_(0)^(a) f(2a-x)dx

int_(0)^(a) y^(2) dx

int_(-1)^(1)int_(0)^(2)int_(x-2)^(x+2)(x+y+z)dxdydz

If int_(0)^(2a) f(x)dx=int_(0)^(2a) f(x)dx , then

If : int_(0)^(2a)f(x)dx=2.int_(0)^(a)f(x)dx , then :

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

int_(0)^(2)3x^(2)dx is

(b) int_(0)^(1)int_(y)^( sqrt(y))(x^(2)+y^(2))dydx