Lesson Worksheet: Integration by Parts Mathematics • Higher Education

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

Q1:

Determine .

Q2:

Determine .

Q3:

Determine .

Q4:

Determine .

Q5:

Suppose . Which of the following is equal to ?

Q6:

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

Q7:

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

Q8:

Use integration by parts to evaluate .

Q9:

By setting and , evaluate by integrating by parts.

Q10:

Integrate by parts using and .

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