Integrate ((5x^3) + ((2x)^-1) + (e^2x))dx.

int(5x3 + (2x)-1 + e2x )dx

=int(5x3)dx + int((2x)-1)dx + int(e2x )dx

int(5x3)dx = (5/4)x4+ c               where c is the constant of integration

int(2x-1)dx = (1/2)ln(2x) + d       where d is another constant of integration

int(e2x)dx = (1/2)e2x + f              where f is another constant of integration

Let C = c+d+f

int((5x3) + (2x-1) + (e2x))dx = (5/4)x4 + (1/2)ln(2x) + (1/2)e2x + C

DL
Answered by Danny L. Maths tutor

4337 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The graph with equation y= x^3 - 6x^2 + 11x - 6 intersects the x axis at 1, find the other 2 points at which the graph intersects the x axis


Why is the integral of a function the area?


find the gradient of y=x3 X0=5


Simplify (3x^2 - 6x)/ (6x^3 - 19x^2 + 9x +10)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences