The equation f(x) =x^3 + 3x is drawn on a graph between x = 0 and x = 2. The graph is then rotated around the x axis by 2π to form a solid. What is the volume of this solid?

f(x) = x3 + 3x V = π ∫ (f(x)2) dx V = π ∫02 (x3 + 3x)(x3 + 3x) dx V = π ∫02 (x6 + 6x4 +9x2) dx V = π[x7/7 + 6x5/5 + 3x3] V = 2824/35

ZC
Answered by Zac C. Maths tutor

3268 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

integrate (4x^3 +3)(x^4 +3x +16)^2 dx


The line L1 has vector equation,  L1 = (  6, 1 ,-1  ) + λ ( 2, 1, 0). The line L2 passes through the points (2, 3, −1) and (4, −1, 1). i) find vector equation of L2 ii)show L2 and L1 are perpendicular.


What is an Inverse function?


The curve C has equation y = 2x^2 - 12x + 16 Find the gradient of the curve at the point P (5, 6).


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