$\"\"$

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(a)

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The integral is $\"\"$ .

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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 $\"\"$ .

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$\"\"$

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$\"\"$

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The integral formula is $\"\"$ , where $\"\"$ and $\"\"$ .

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$\"\"$

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(b)

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The integral is $\"\"$ .

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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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The integral formula is $\"\"$ , where $\"\"$ .

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$\"\"$

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(c) The integral is $\"\"$ .

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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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The integral formula is $\"\"$ , where $\"\"$ .

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$\"\"$

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(d)

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The integral is $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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Consider $\"\"$ .

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

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$\"\"$

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$\"\"$ .

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Consider $\"\"$ .

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Integrate on each side.

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$\"\"$

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$\"\"$

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The integration by parts : $\"\"$ , where $\"\"$ and $\"\"$ . $\"\"$

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(e)

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The integral is $\"\"$ .

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We cannot find the integral value.

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$\"\"$

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(f)

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The integral is $\"\"$ .

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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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$\"\"$ .

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The integral formula is $\"\"$ , where $\"\"$ .

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$\"\"$

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(a) The integral formula is $\"\"$ , where $\"\"$ and $\"\"$ .

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(b) The integral formula is $\"\"$ , where $\"\"$ .

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(c) The integral formula is $\"\"$ , where $\"\"$ .

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(d) The integration by parts : $\"\"$ , where $\"\"$ and $\"\"$ .

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(e) We cannot find the integral value.

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(f) The integral formula is $\"\"$ , where $\"\"$ .