Integrate by parts x2^x

Here we will use integration by parts because we have the product of two terms, x and 2^x. Using the integration by parts formula, we have to differentiate one of these terms and integrate the other. We choose to differentiate x, as this becomes 1, less complicated than before. We can then integrate 2^x without it becoming any more complicated, only changing by a factor of ln(2). Sticking these results into the formula gives us the answer for the question. 

See whiteboard. 

TV
Answered by Thomas V. Maths tutor

7644 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

(Using the Quotient Rule) -> Show that the derivative of (cosx)/(sinx) is (-1)/(sinx).


Differentiate: (12x^3)+ 4x + 7


An object of mass 3kg is held at rest on a rough plane. The plane is inclined at 30º to the horizontal and has a coefficient of friction of 0.2. The object is released, what acceleration does the object move with?


Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning