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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: 86,676

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,816
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'
'Humanity is still kept intact. It remains within.' -Alokananda

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,676

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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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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