What is the definite integral of x^2 from 0 to 1?

Find the indefinite integral of cos(2x) with respect to x.

What is the area under the curve y = x^3 from x = 1 to x = 2?

Determine the integral of e^(3x+1) with respect to x.

Calculate the volume of the solid formed by rotating the region bounded by y = x^2 and y = 0 from x = 0 to x = 1, about the x-axis.

Evaluate the integral of 1/(x*ln(x)) dx

Find the area between the curves y = x and y = x^2.

Solve the integral of x*sin(x) dx.

What is the length of the curve y = (2/3)x^(3/2) from x = 0 to x = 3?

Evaluate the integral of (2x + 3) / (x^2 + 3x + 5) dx.