You are Here: Home >< Maths

# Hyperbolic integral Watch

1. Find the integral of 1/(coshx+asinh(x))dx distinguishing between various possibilities of a. Not a clue how to start on this one, putting coshx and sinhx in exponential form doesnt seem to help...
2. (Original post by MEPS1996)
Find the integral of 1/(coshx+asinh(x))dx distinguishing between various possibilities of a. Not a clue how to start on this one, putting coshx and sinhx in exponential form doesnt seem to help...
That looks pretty horrible tbh.

3. (Original post by davros)
That looks pretty horrible tbh.

ikr, i did this then tried u=e^x, but cant split it into partial fractions because the i cant see how the denominator factorises
4. (Original post by MEPS1996)
Find the integral of 1/(coshx+asinh(x))dx distinguishing between various possibilities of a. Not a clue how to start on this one, putting coshx and sinhx in exponential form doesnt seem to help...
For a=1 or a=-1 it is simple
a=1

similarly for a=-1

will be the integral.

for a=0

substituting
then

and

5. (Original post by MEPS1996)
Find the integral of 1/(coshx+asinh(x))dx distinguishing between various possibilities of a. Not a clue how to start on this one, putting coshx and sinhx in exponential form doesnt seem to help...
For the general case, put into exponential form, multiply top and bottom by e^x, then sub e^x=u and you should have a logarithmic integral.

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: April 18, 2014
Today on TSR

### I don't drink alcohol...

Is freshers still worth it?

### Girlfriend wants me to make her cry...

Discussions on TSR

• Latest
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams