Question
Asked Oct 6, 2019
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How do you integrate:

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
5x2 5x
12
_
dx
x34x2
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Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 5x2 5x 12 _ dx x34x2

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Step 1

Evaluate the integral . Break the terms using partial fractions

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-5x* +5х-12 dx +4x 5x?+5х-12 dx х* (х-4)

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Step 2

Apply partial fractions. Solve for A, B ,C. LCD is x^2(x+4)

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5x*+5х-12 xX+4) В C 5x2+5x-12-4(x 4) + B(x)(x+4) +C(x) 5x2 5x-12 Ax4.A+ Bx2 4Bx +Cx 5x+5x-12 -Ax 4Bx+ 4.4+ Bx +Cx 5x2+5x-12r(B +C)+x(A + 4B) +44 +

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Step 3

Equate the coordinates of the var...

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B C 5 A4B = 5,4A -12 4412, A-3 A+4B 5 -34B 5 4B 8 B 2 BC 5 2 C 5 C 3

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Tagged in
MathCalculus

Integration

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