# Ch 13: Integration and Integration Techniques

Watch integration and integration techniques video lessons. Learn about substitution, improper integrals, integral functions with partial fractions and much more.

Once you've learned about derivatives and differential equations, it's time to study anti-derivatives and integrals. Watch these videos for an introduction to integrals and the integration techniques most often used by mathematicians in calculus. You'll find that many of the methods you use are the opposite of finding the derivative of variables that you've learned in other lessons.

First, learn how to use integration by parts. These can be used to solve complex product integrals. You may recognize that this is the reverse method of the product rule used when finding derivatives. In either case, you'll separate the trigonometric functions from the algebraic functions first. Then, learn how to calculate definite and indefinite integrals of trig functions, polynomials and exponentials.

Study the substitution technique, where you replace u for f(x). This technique is supposed to simplify equations so that you can integrate for u and then solve for f(x) once you've replaced it back in. It sounds confusing, but when watching these videos, you'll learn essential methods for solving difficult integrals and trigonometric substitution. Then, gain practice by watching multiple examples to ease your understanding.

Next, learn how to work with partial fractions inside functions. Discover how to recognize simple shapes by function, such as the trapezoid rule. And finally learn how to solve improper integrals. Then gain practice.

12 Lessons in Chapter 13: Integration and Integration Techniques
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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