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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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,856

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.

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,514
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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,856

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.

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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!

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