Integrate 2x^4 - 4/sqrt(x) + 3 dx

First we will simplify 4/sqrt(x) so it is easier to integrate.sqrt(x) is equal to x1/2, therefore 4/sqrt(x) = 4/x1/2 .We bring up x1/2 so 4/x1/2 becomes 4x-1/2 .So now we will integrate the simplified equation 2x4 - 4x-1/2+ 3.To integrate we add one to the power and divide by the new power. To numbers without an x, we add an x.Therefore we get 2x5/5 - 4x1/2/(1/2) + 3x + c.Simplified this is, 2/5x5 - 8x1/2 + 3x + c.When integrating, always remember to add c, this represents a constant.

MA
Answered by Maleehah A. Maths tutor

7193 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Simplify and solve for x. log(x+1)+log 5=2. Note, log is the natural log in this case


Via the product rule, or otherwise, differentiate 'y = xsin(x)'.


Differentiate 2^x


How do you sketch the graph of a function?


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