Question

Question Comp Use a change of variables or the table of general integration formulas to evaluat 8 $$ \int_{7}^{8} \frac{x}{\sqrt[3]{x^{2}-8}} d x $$ Click to view the table of general integration formulas. 8 $$ \int_{7}^{8} \frac{x}{\sqrt[3]{x^{2}-8}} d x = $$ (Type an exact answer.) Get more help

Name: question comp use a change of variables or the table of general integration formulas to evaluat 8 int78 fracxsqrt3x2 8 d x click to view the table of general integration formulas 8 int78 f 70968
Uploaded: 2020-10-23T01:06:19-08:00
Duration: 2 min 26 s
Channel: Linh Vu
Description: question comp use a change of variables or the table of general integration formulas to evaluat 8 int78 fracxsqrt3x2 8 d x click to view the table of general integration formulas 8 int78 f 70968

          Question
Comp
Use a change of variables or the table of general integration formulas to evaluat
8
$$ \int_{7}^{8} \frac{x}{\sqrt[3]{x^{2}-8}} d x $$
Click to view the table of general integration formulas.
8
$$ \int_{7}^{8} \frac{x}{\sqrt[3]{x^{2}-8}} d x = $$
(Type an exact answer.)
Get more help

$question comp use a change of variables or the table of general integration formulas to evaluat 8 int78 fracxsqrt3x2 8 d x click to view the table of general integration formulas 8 int78 f 70968$

Added by Sharon L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Linh Vu

10/23/2020

Step 1

Let $u = x^2 - 8$. Then, we need to find $du$. $$ du = \frac{d}{dx}(x^2 - 8) dx = 2x \, dx $$ From this, we can express $x \, dx$ as $\frac{1}{2} du$. Show more…

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Question Comp Use a change of variables or the table of general integration formulas to evaluat 8 $$ \int_{7}^{8} \frac{x}{\sqrt[3]{x^{2}-8}} d x $$ Click to view the table of general integration formulas. 8 $$ \int_{7}^{8} \frac{x}{\sqrt[3]{x^{2}-8}} d x = $$ (Type an exact answer.) Get more help