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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: 98,142

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.**

**If it ain't broke, fix it until it is.**

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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'

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 98,142

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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**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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