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Chapter 5: Q 58. (page 429)

Solve the integration:鈭�sin蟺xcos蟺xdx

Short Answer

Expert verified

The required answer is-蟺2cos蟺x2+c.

Step by step solution

01

Step 1. Given information. 

We have given integral is鈭�sin蟺xcos蟺xdx.

02

Step 2. Solve the integration by parts . 

We have,

u=cos蟺虫du=-蟺sin蟺虫dx

The formula of integration by parts is 鈭�udv=uv-鈭�vdu.

role="math" localid="1648914884382" 鈭�Sin蟺虫cos蟺虫dx=-蟺鈭�udu=-蟺u22+c=-蟺2cos蟺虫2+c

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Most popular questions from this chapter

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