Techniques of Integration: Integration by Parts, Products of Powers of

Nannie Mack

Nannie Mack

Answered question

2021-10-14

Techniques of Integration: Integration by Parts, Products of Powers of Trigonometric Functions
Use integration by parts to integrate functions.
Integrate products of powers of trigonometric functions.
Evaluate
I=xsin3xdx

Answer & Explanation

stuth1

stuth1

Skilled2021-10-15Added 97 answers

Step1
To evaluate the integral
I=xsin3xdx
u=x dv=sin3xdx
u=1 v=cos3x3
u=0 v=sin3x9
udv=uvuv1+uv2-...
Step 2
I=xsin3xdx
={[x{(cos3x3}){(1}){(sin3x9})}]+c
={[xcos3x3+sin3x9}]+c

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