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I'm familiar with the General Rule: U^n du , but I don't think it will work in this case.

please help!

2007-12-11 15:09:03 · 7 answers · asked by Conservative Jesus 1 in Science & Mathematics Mathematics

7 answers

I = ∫ x^5 + 4 x ³ + 3 x dx
I = x^6 / 6 + x^4 + 3 x ² / 2 + C

2007-12-14 02:15:19 · answer #1 · answered by Como 7 · 2 1

maybe distribute it through?
x^5 + x^3 +3x^3 + 3x
=x^5 +4 x^3 + 3x
now just do a backwards power rule for all 3 terms

2007-12-11 15:12:45 · answer #2 · answered by Anonymous · 0 0

(x^3+3x)(x^2+1).dx

(X^5+X^3+3X^3+3X).dx

(X^5+4X^3+3X).dx hence

the result of intregation =1/6X^6+X^4+3/2 X^2

2007-12-11 15:18:25 · answer #3 · answered by Faisal R 3 · 0 0

multiply them first...

∫ x^3*x^2 + 3x*x^2 + x^3 + 3x dx
= ∫ [x^5 + 4x^3 + 3x] dx
then you can use the power rule....

finish....


§

2007-12-11 15:12:52 · answer #4 · answered by Alam Ko Iyan 7 · 0 1

Just mulitply out the expressions, then integrate term by term. This one is easy.

2007-12-11 15:11:46 · answer #5 · answered by Anonymous · 1 0

Product rule and exponent rule.

2007-12-11 15:11:30 · answer #6 · answered by Gregor Samsa 2 · 0 0

expand the equation first. then integrate each term and add them together! you know how right?? email me if you still need help!

2007-12-11 15:11:58 · answer #7 · answered by XOXO 5 · 0 0

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