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Evaluate the following integrals: ∫sin4xcos2x.dx - Mathematics and Statistics

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Question

Evaluate the following integrals:

`int (sin4x)/(cos2x).dx`

Sum

Solution

`int (sin4x)/(cos2x).dx`

= `int(2sin 2x cos 2x)/(cos2x).dx`

= `2int sin 2x .dx`

= `2(-(cos2x)/2) + c`

= – cos 2x + c.

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Chapter 3: Indefinite Integration - Exercise 3.1 [Page 102]

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