Using substitution, integrate x(2 + x))^1/2 where u^2 = 2 + x

u2 = 2 + xx = u2 - 2dx/du = 2u
ʃ x(2 + x))1/2 dx= ʃ xu dx= ʃ u(u2 - 2) dx= ʃ 2u2 (u2 - 2) du= ʃ 2u4 - 4u2 du= [2/5u5 - 4/3u3 + C]= 2/5 (2 + x)5/2 - 4/3 (2 + x)3/2 + C

SP
Answered by Sonali P. Maths tutor

4037 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the y-coordinate minimum point of y = 3x^2 + x - 4


Find the stationary points of the curve y=2*x^3-15*x^2+24*x+17. Determine whether these points are maximum or minimum.


Solve 5x/(2x+1) - 3/(x+1) = 1


Factorize completely x^3 - 6x^2 + 11x - 6


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