SOLUTION: 1. Use substitution to find ʃ x(x^2 � 4)^2 dx. 2. Find ʃ sin3 x (cos x)dx, if the limits of integration are π (upper) and 0 (lower). 3. Evaluate ʃ 5/x

Question 1118137: 1. Use substitution to find ʃ x(x^2 � 4)^2 dx.
2. Find ʃ sin3 x (cos x)dx, if the limits of integration are π (upper) and 0 (lower).
3. Evaluate ʃ 5/x dx if the limits of integration are e2 and 1 (lower).
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Substituting,

Now finish the integration.
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.
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I'm assuming you mean the 3 as an exponent,

So,

Finish the integration, substitute back to x, and use the limits.
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Solve using the limits of integration.

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SOLUTION: 1. Use substitution to find &#643; x(x^2 � 4)^2 dx. 2. Find &#643; sin3 x (cos x)dx, if the limits of integration are &#960; (upper) and 0 (lower). 3. Evaluate &#643; 5/x

SOLUTION: 1. Use substitution to find ʃ x(x^2 � 4)^2 dx. 2. Find ʃ sin3 x (cos x)dx, if the limits of integration are π (upper) and 0 (lower). 3. Evaluate ʃ 5/x