Integrate 10x(x^1/2 - 2)dx

First, expand the brackets. This will give us 10x^3/2 - 20x. Now to integrate this expression we have to increase the power of each term by one and then divide them by the number which becomes the new power.10x^3/2 becomes 10*2/5x^5/2 and -2x becomes -20/2x^2 so what we get is 4x^5/2 - 10 x^2 + C. Where C is a constant which is added every time an expression is integrated.

Answered by Giorgia S. Maths tutor

9108 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the turning point of the line y = x^2 + 2x -1


Differentiate the following: y = 3x^(1/3) + 2


How do you integrate y = 4x^3 - 5/x^2?


What is the equation of the tangent to the curve y=x^3+3x^2+2 when x=2


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