What is the integral of 2x^5 - 1/4x^3 - 5

Integrating is essentially the opposite of differentiating.xn --> xn+1 We add 1 to the power and re-introduce variables where they have been eliminated potentially k --> kxWe must also take into account that when differeniating we mulitply the term by the power. So when integrating we must do the reverse of this and instead we divide through.One last thing to note is that terms that could have previously been in the equation that were elininated through differentiation e.g. 5 differentiated --> 0. To make up for this uncertainity we include a new variable (C).

JS
Answered by Joshua S. Maths tutor

3500 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A circle with centre C has equation: x^2 + y^2 + 20x - 14 y + 49 = 0. Express the circle in the form (x-a)^2 +(y-b)^2=r^2. Show that the circle touches the y-axis and crosses the x-axis in two distinct points.


Starting from the fact that acceleration is the differential of velocity (dv/dt = a) derive the SUVAT equations.


y = 4(x^3) + 7x ... Find dy/dx


How to write an algebraic fraction in a given form e.g. (3+13x-6x^2)/(2x-3) as Ax + B + C/(2x-3) where A, B and C are natural numbers


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