Integral Calculus Answers

integral of sin^3 (2x) / 1+ cos(2x)

integral of sin^3 x / 1+cos x

Check the continuity of the function at the indicated point
f(x,y) = (7 x2 y)/(x2+y2) if (x,y) not equal to (0,0) ,
f(x,y) = 0 if (x,y) equal to (0,0) .

Evaluate the integral of f(x,y,z) = x+2y-z over the cylinder bounded by x2 +y2 =4 and z=1 .

Calculate fxxyz if f(x,y,z) = sin(3x+yz) .

Find the work done by the force F=(x2 , - x y) in moving a particle from (0,0) to (1,2) along the parabola y=(2 x2) from (0,0) to (1,2) .

The density at any point on a semicircular lamina is proportional to the distance from the centre of the circle . Find the centre of gravity of the lamina.

integral 2z/(z^2+1)^1/3 dz

Apply Green's theorem to find the area of the ellipse (x2)/9+(y2)/4=4 .

Integrate f(x,y)=x2 +y over the region bounded by y=2x2 , X-axis , x = 1/2 .