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. 

Answered by Thomas V. Maths tutor

7153 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

find dy/dx for the equation y = 6x ^(1/2)+x+3


How do I do integration by substitution?


How do I differentiate a quadratic to the power n?


a) Solve the following equation by completing the square: x^(2)+ 6x + 1= 0. b) Solve the following equation by factorisation: x^(2) - 4x - 5 = 0 c) Solve the following quadratic inequality: x^(2) - 4x - 5 < 0 (hint use your answer to part b)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences