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**Omar Desoky****Guest**

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

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,418

Hi;

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

**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.**

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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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,418

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.**

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**Omar Desoky****Guest**

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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