$\"\"$

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The integral is $\"\"$ .

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(a) Solve the integral by using $\"\"$ -substitution.

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Substitute $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Apply formula : $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ .

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$\"\"$ .

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$\"\"$

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Solve the integral $\"\"$ by using trigonoimetric substitution.

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Substitute $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Trigonometry identity : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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If $\"\"$ then $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ where $\"\"$ .

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$\"\"$ .

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$\"\"$

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The integral is $\"\"$ .

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(b) Solve the integral by using $\"\"$ substitution.

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Apply formula : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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The integral is $\"\"$ .

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Solve the integral by using trigonometric substitution.

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Substitute $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Trigonometry identity : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The integral is $\"\"$ .

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(c) Solve the integral by using trigonometric substitution.

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Substitute $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

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Trigonometry identity : $\"\"$ .

\

$\"\"$

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$\"\"$

\

$\"\"$

\

$\"\"$

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Apply formula : $\"\"$ .

\

$\"\"$

\

$\"\"$

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

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$\"\"$

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$\"\"$ .

\

$\"\"$

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The integral is $\"\"$ .

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Solve the integral by using $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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Apply formula : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .

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(c) $\"\"$ .