In this worksheet, we will practice using integration by parts to find the integral of a product of functions.
Q1:
Use integration by parts to evaluate οΈπ₯π₯π₯sind.
Q2:
Determine οΈ9π₯+7ππ₯ο«οd.
Q3:
Determine οΈ(3π₯+4)ππ₯ο¨οd.
Q4:
Evaluate οΈπ₯ππ₯ο§ο¦ο¨οd.
Q5:
Integrate οΈπ₯π₯lnd by parts using π’=π₯ln and ddπ£=π₯.
Q6:
Determine οΈπ₯π₯π₯ο¨lnd.
Q7:
Calculate οΈ(π₯)π₯ο§ο¦ο±ο§tand.
Q8:
By setting π’=πο and dcosdπ£=π₯π₯, evaluate οΈππ₯π₯οcosd by integrating by parts.
Q9:
A curve passes through οΌ0,715ο and the tangent at its point (π₯,π¦) has slope 8π₯β2π₯+1. What is the equation of the curve?
Q10:
Determine οΈ2ππ₯3(π₯+1)π₯οο¨d.
Download the Nagwa Practice app to access 41 additional questions for this lesson!
Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.