int_(0)^(12)(2x)dx-1

int_(0)^(1)(1+2x)dx

If int_(0)^(1)f(x)dx=1, int_(0)^(1)x f(x)dx=a and int_(0)^(1)x^(2)f(x)dx=a^(2) , then : int_(0)^(1)(a-x)^(2)f(x)dx=

int_(0)^(1)xe^(2x)dx

Show that int_(0)^(2)(2x+1)dx = int_(0)^(5)(2x+1)+int_(5)^(2)(2x+1)

Show that int_(0)^(2)(2x+1)dx = int_(0)^(5)(2x+1)+int_(5)^(2)(2x+1)

The number of positive continuous f(x) defined in [0,1] for with I_(1)=int_(0)^(1)f(x)dx=1,I_(2)=int_(0)^(1)xf(x)dx=a , I_(3)=int_(0)^(1)x^(2)f(x)dx=a^(2) is /are

Evaluate: int_(0)^(4)(1)/(x+sqrt(x))dx( ii) int_(0)^(1)(2x)/(5x^(2)+1)dx

int_(0)^(1)(2x)/((1+x^(2)))dx

int_(0)^(1)(2x)/((1+x^(4)))dx

int_(0)^(1)(2x)/((1+x^(4)))dx