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## #1 2013-04-26 15:12:35

Omar Desoky
Guest

### Integration problems (please solve with steps)

Dears,

Calculate each of the following:
(1) ∫ (sinx+cosx)² dx
(2) ∫ (x+5)/(x+1)^4 dx
(3) ∫ (x²+4x+7)/(x+2)^5 dx
(4) ∫ x√((3/x^4)-(2/x^5)) dx
(5) ∫ ((cosx)^4-(sinx)^4)/cos2x dx
(6) ∫ (secx+cosx)^2 dx
(7) ∫ (x+3)√(4x²+12x+9)³ dx
(8) ∫ sin3x/sec3x dx
(9) ∫ (x+2)√(2x+1) dx
(10) ∫ (x-1/x)(x+1/x)(x²+1/x²) dx
(11) ∫ ((2/x)-3/x²)x^10
(12) ∫ 3sin2xcos2x dx

## #2 2013-04-26 15:31:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Integration problems (please solve with steps)

Hi;

Welcome, glad to help but you must help too! Just giving the answers is sometimes harmful. You must show a little effort.

http://www.mathisfunforum.com/viewtopic.php?id=14654

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #3 2013-04-26 16:46:27

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,838
Website

### Re: Integration problems (please solve with steps)

Is it necessary to know integration by parts to do them?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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## #4 2013-04-26 17:22:31

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Integration problems (please solve with steps)

IBP is just using a formula.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #5 2013-04-26 17:42:18

Omar Desoky
Guest

### Re: Integration problems (please solve with steps)

I have done this homework, I only need to make sure of the final results as I don't have an answer guide for those....
Ok.. I only need to make sure of my final results.
Thanks!