Q:
# What is chain rule integration?

The term chain rule integration refers to the integration technique that reverses the process of differentiating using the chain rule. Chain rule integration is more commonly known as the substitution or change in variable techniques of integration.

Continue Reading
Credit:
Yuji Sakai
Digital Vision
Getty Images

The basic idea of using the chain rule in differentiation is du = u'(t) dt. For example, in the equation for the integral of cos(3t^2) * 6t dt, the variable u is used to describe 3t^2, and u' is equal to 6t. Therefore, du = 6t dt. Since the cos(u) du is equal to sin(u) + c, the resulting formula substitutes 3t^2 for u. The final equation is sin(3t^2) + c.

Learn more about Calculus-
Q:
## What is MyCalculus?

A: MyCalculus is a website that helps students solve integration and differentiation problems. When a user visits the MyCalculus site, he is redirected to Mat... Full Answer >Filed Under: -
Q:
## What formula do you use for the integral of inverse tangent?

A: The formula for the integral of inverse tangent is the integral of arctan(x) dx = x * arctan(x) - (1/2) * ln |x2+1|+ C. The integral is solved using integr... Full Answer >Filed Under: -
Q:
## What are some examples of Calculus 2 problems?

A: Dr. Paul Dawkins, math professor at Lamar University, outlines the topics covered in the calculus 2 course, which build on the knowledge of previous calcul... Full Answer >Filed Under: -
Q:
## What are piecewise defined functions?

A: A piecewise-defined function consists of two or more subfunctions while maintaining the rule that a function has only y-value for each x-value. Some mathem... Full Answer >Filed Under: