Evaluate `int_(1/2)^(1)(y+4)/(y^(2)+y)dx`

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

int(1+x)/(x^(2))dx+int(1-y)/(y^(2))dy

evaluate: int_(0)^(2)int_(3)^(sqrt(y))[1+x+y]*dxdy

Sketch the graph y=|x+1| . Evaluate int_(-4)^(2)|x+1|dx . What does the value of the integral represents on the graph.

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax , evaluate : x_(1) x_(2) + y_(1) y_(2) .

Solve: int_(0)^(1)dyint_(1)^(2)(x^(2)+y^(2))dx

int_0^1 int_y^sqrt(y) (x^2+y^2) dy dx=