Calculate the integral. \int \frac{\cos h x}{\sin h x}dx

abondantQ

abondantQ

Answered question

2021-10-25

Calculate the integral.
coshxsinhxdx

Answer & Explanation

Neelam Wainwright

Neelam Wainwright

Skilled2021-10-26Added 102 answers

Step 1
Given integral is
coshxsinhxdx
We will use the following substitution to evaluate the integral
sinhx=t
coshxdx=dt
Step 2
Therefore, we have
coshxsinhxdx=1tdt=ln|t|+c
coshxsinhxdx=ln|sinhx|+c
Step 3
Ans:
coshxsinhxdx=ln|sinhx|+c

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