Find the intergal of 2x^5 -1/(4x^3) -5 giving each term in its simplest form.

When integrating, we raise the power by 1 and divide by the new powerSo, 2x5 becomes 2x6 /6 which simplified down as the question asks is x^6/3-1/(4x3) is -(1/4)x^-3 using indices laws, raising the power by one and dividing by the new power gives -(1/4)x-2/(-2) which simplifies down to (1/8)x-2-5 becomes -5xDon't forget when intgrating to add the constant, so putting all this togehter gives us:x6/3 +(1/8)x-2-5x+c

Answered by Emily W. Maths tutor

2906 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you differentiate by first principles?


How do you integrate the function cos^2(x)


The shortest side of a triangle is 4.3m long. Two of the angles are 45.1 and 51.2 degrees respectively. Find the length of the longest side.


x is an angle, if 180 > x > 90 and sinx = √2 / 4 what is the value of angle x


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