Use a table of integrals to evaluate the following indefinite

Phoebe

Phoebe

Answered question

2021-11-09

Use a table of integrals to evaluate the following indefinite integrals.
sin3xcos2xdx

Answer & Explanation

pierretteA

pierretteA

Skilled2021-11-10Added 102 answers

Step 1
Given:
sin3xcos2xdx
Step 2
Now,
By using the following identity, we get,
sin(a)cos(b)=12(sin(ab)+sin(a+b))
sin3xcos2xdx=12[sin(3x2x)+sin(3x+2x)]dx
=12[sin(x)+sin(5x)]dx
=12[cosxcos5x5]+C
Hence,
sin3xcos2xdx=12[cosxcos5x5]+C

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