Find the indefinite integral of 3x - x^(3/2) dx

To find the integral of a function you must first incease the power of x by one then divide to coefficient by the new power. So, by increasing the powers first you get 3x^2 - x^(5/2) and then dividing by the new powers you get (3/2)x^2 - (2/5)x^(5/2) and make sure not to forget +c.

AJ
Answered by Alex J. Maths tutor

5388 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What are the rules for decomposition of partial fractions?


Describe the 3 types of solution to a quadratic equation


The equation kx^2 + 4x + (5 – k) = 0, where k is a constant, has 2 different real solutions for x. Show that k satisfies k^2-5k+4>0.


Given y = 3x^(1/2) - 6x + 4, x > 0. 1) Find the integral of y with respect to x, simplifying each term. 2) Differentiate the equation for y with respect to x.


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:

© 2026 by IXL Learning