# Integration by parts

6 videos

1 skill

When we wanted to take the derivative of f(x)g(x) in differential calculus, we used the product rule. In this tutorial, we use the product rule to derive a powerful way to take the anti-derivative of a class of functions--integration by parts.

### Deriving integration by parts formula

VIDEO
3:52 minutes

### Antiderivative of xcosx using integration by parts

VIDEO
3:52 minutes

### Integral of ln x

VIDEO
3:50 minutes

### Integration by parts twice for antiderivative of (x^2)(e^x)

VIDEO
6:46 minutes

### Integration by parts of (e^x)(cos x)

VIDEO
7:17 minutes

### Challenging definite integration

VIDEO
15:43 minutes

2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!

### Integration by parts

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