Math Is Fun Forum

Zeeshan 01

Member

Registered: 2016-07-22

Posts: 746

Integration

Exercising this type of integration questions
Q. integral from 0 to pi\4 ln(1+tanx)

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Malik

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Integration

hi Zeeshan 01

Wow! Where did that come from?  Not out of a beginners book of integration, I hope.  I couldn't see how to do it, so I used https://www.wolframalpha.com/ to compute it.  It has a far from easy solution as you'll see.  Did you just make this one up yourself?  That's a hazard with trying that.  Not all functions are easily integrable.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Integration

Set

then use the trig identity

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Integration

Thanks zetafunc.  It seems that the limits make all the difference.

Zeeshan 01: After a bit of research I think I can take you through this, but it'll take more than one post.  If you would like that please reply.  Or you could do like me and use a search engine.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Integration

Hi Bob,

I made a video explanation here, if Zeeshan 01 would like to have a look.

https://youtu.be/IwmYetE29YU

yuliani37

Member

Registered: 2019-09-28

Posts: 2

Re: Integration

I'm trying to find answers to your questions.
I found a way on Google like this https://www.quora.com/What-is-the-integration-of-log-1+tanx
sorry if my answer is wrong