Evaluate the integral. \int \cos h 2x dx

dailinoyf

dailinoyf

Answered question

2021-11-07

Evaluate the integral.
cosh2xdx

Answer & Explanation

Marlene Broomfield

Marlene Broomfield

Beginner2021-11-08Added 15 answers

Step 1
Given,
cosh2xdx
Step 2
Now,
cosh(2x)dx
Applying substitution method,
let u =2x
du=2dx
du2=dx
The integral becomes
=12cosh(u)du
=12cosh(u)du
=12sinh(u)+C
Substituting back: u=2x
=12sinh(2x)+C
cosh(2x)dx=12sinh(2x)+C

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