$\"\"$

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(a)

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The integral is $\"\"$ .

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$\"\"$

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Let $\"\"$ .

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$\"\"$

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Apply derivative on both sides.

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$\"\"$ .

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The derivative power rule.

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$\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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

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$\"\"$ .

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The closest looking one is $\"\"$ where $\"\"$ would be $\"\"$ , however this woludnt work because there would have to be an $\"\"$ in the numerator.

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Therefore, the integral cannot be determined for the function $\"\"$ .

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$\"\"$

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(b)

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The integral is $\"\"$ .

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$\"\"$

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Let $\"\"$ .

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Apply derivative on each side.

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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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Integrals involving inverse trigonometric function : $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(c)

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The integral is $\"\"$ .

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Let $\"\"$ .

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Apply derivative on each side.

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$\"\"$

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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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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$ .

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Therefore, the integrals $\"\"$ and $\"\"$ can be found using the basic integration formulas.

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$\"\"$

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The integrals $\"\"$ and $\"\"$ can be found using the basic integration formulas.