Question
Asked Dec 2, 2019
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Evaluate the indefinite integral. (Use C for the constant of integration.)

x(6x + 7)8dx

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Expert Answer

Step 1

Given:

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x(x+7)

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Step 2

Solve by substitution, let u = x+7

Then, differentiate with respect to ‘x:

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u 6x7 d d -(6x+7) (u) dx dx du 9 = dx du dx= 6 u = 6x7 u-7 6x u-7 x 6

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Step 3

Substitute the value of ‘dx’, ‘u&r...

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x(x+7) (u-7)(u) -du 6x6 (u) (u-7) du 36 (u)'(u-7)du 36 1 u'du - 7ju'du] 36 1 u* - 7 8+1 +C 36 9 1 7u +C u0 36 10

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Tagged in
MathCalculus

Integration