Find the indefinite integral. \int \frac{dx}{\sin 3x\tan 3x}

EunoR

EunoR

Answered question

2021-11-08

Find the indefinite integral.
dxsin3xtan3x

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2021-11-09Added 91 answers

Step 1
Given integral,
dxsin3xtan3x
Step 2
Now solving the given integral,
Let sin3x=t
3cos3xdx=dt
cos3xdx=13dt
Now integral,
1t213dt=13t2dt
=13t2+1(2+1)+C
=13t+C
=13sin3x+C
=13csc3x+C
Step 3
Final answer:
dxsin3xtan3x=13csc3x+C

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