# Worksheet: Integration by Parts for Indefinite Integrals

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

**Q1: **

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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