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## #1 2013-04-27 13:12:35

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 2013-04-27 13:31:19

bobbym
Administrator

Offline

### 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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2013-04-27 14:46:27

Agnishom
Real Member

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### 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'
'Who are you to judge everything?' -Alokananda

## #4 2013-04-27 15:22:31

bobbym
Administrator

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### 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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #5 2013-04-27 15:42:18

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!

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