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

3590 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the tangent to the curve y = x^2 + 3x + 2 that passes through the point (-1,0), sketch the curve and the tangent.


Given that y = 16x^2 + 7x - 3, find dy/dx [3 marks]


Find the area enclosed by the curve y = 3x - x^2 and the x-axis


The arithmetic series is given by (k+1)+(2k+3)+(3k+5)+...+303. a)Find the number of term in the series in terms of k. b) Show that the sum of the series is given by (152k+46208)/(k+2). c)Given that S=2568, find k.


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