Purchase Solution

Integration by parts

Not what you're looking for?

Ask Custom Question

34.8 (a) Use integration by parts to evaluate
∫ xּarctan x dx.

Hint: let u(x) = arctan x, so that u′(x) = 1/(1+x2).

(b) If you used v(x) = x2/2 in part (a), do the computation again with v(x) = (x2+1)/2. This interesting example is taken from J. L. Borman[6].

Purchase this Solution

Solution Summary

This shows how to use integration by parts with an arctan integral.

Solution Preview

Please see the attachment.

We use two ways to do the ...

Purchase this Solution

Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.