# Worksheet: Integration by Parts

In this worksheet, we will practice using integration by parts to find the integral of a product of functions.

Q1:

Determine .

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Q2:

Determine .

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Q3:

Determine .

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Q4:

Determine .

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Q5:

Suppose . Which of the following is equal to ?

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Q6:

A curve passes through and the tangent at its point has slope . What is the equation of the curve?

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Q7:

The slope of the tangent to the curve at the point is given by . Determine if the point lies on the curve.

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Q8:

Use integration by parts to evaluate .

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Q9:

By setting and , evaluate by integrating by parts.

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Q10:

Integrate by parts using and .

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Q11:

Determine .

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Q12:

Determine .

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Q13:

Determine .

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Q14:

Determine .

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Q15:

Determine .

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Q16:

Determine .

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Q17:

The slope of the tangent to the curve at the point is given by . Determine if the point lies on the curve.

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Q18:

Use integration by parts to find the exact value of .

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Q19:

Evaluate .

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