How do I integrate cos^2(x)?

The steps for integrating cos^2(x) are shown with explanations.

How do I integrate tan^2(x)?

The steps for integrating tan^2(x) are shown with explanations.

How do I integrate cot^2(x)?

The steps for integrating cot^2(x) are shown with explanations.

Find a function whose derivative exists and is not continuous

Find a real valued function such that its derivative exists in every point, but it is not continuous at least in one point.

U substitution

The steps of U substitution are explained using the example S6/(2x+1)^4dx.

Maximization

A Farmer wants to construct a fence. The area that he is going to enclose is rectangular, but one of the sides is a river (assumed to be straight). If he has 120 m of fence, what is the maximum surface that he can enclose?

Please explain the process of U substitution.

The steps of U substitution are explained using the example S(3x)/(5x^2-2).

Integration: Finding a function from an integral

Find the function from the attached integrals.

U substitution.

The steps of U substitution are explained using the example of the integral of the square root of 4x+1.

U substitution.

The steps of U substitution are explained using the example Scos(5x)dx.