Solve the following indefinite integrals. \int \frac{\cos x}{\sin^{2}x}dx

sodni3

sodni3

Answered question

2021-09-24

Solve the following indefinite integrals.
cosxsin2xdx

Answer & Explanation

2k1enyvp

2k1enyvp

Skilled2021-09-25Added 94 answers

To find:
The indefinite integral of cosxsin2xdx
Calculation:
Substitute t=sinx and dt=cosxdxcosxsin2xdx
cosxsin2xdx=dtt2
=(t2+12+1)+C
=1t+C
Substitute t=sinx in above integral:
cosxsin2xdx=1sinx+C
Thus, the integral of cosxsin2xdx is 1sinx+C

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