Find the exact value of the integral of (2+7/x), between x=1 and x=e. Give your answer in terms of e.

1.) Find the integral of each term. --> [2x +7ln(x)]. --> Uses standard integrals--> e.g. that the integral of 1/x is ln(x).
2.) substitute values into the integral. --> [2(e)+ 7ln(e)]- [2(1)+7ln(1)] --> (2e +7)- (2+7(0)) --> uses knowledge about natural logarithms, e.g. that ln(1)= 0 and ln(e)= 13.) present answer. --> ANSWER= 2e +5. --> Presented in the simplest possible form, in exact terms (as required by the question).

Answered by Maths tutor

3749 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do i use chain rule to calculate the derivative dy/dx of a curve given by 2 "parametric equations": x=(t-1)^3, y=3t-8/t^2


Prove that 8 times any triangle number is always 1 less than a square number


The curve C has the equation: 16y^3 +9x^2y-54x=0, find the x coordinates of the points on C where dy/dx = 0


How do you differentiate a function?


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