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

3553 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the solutions to x^3+4x^2+x-5=1


Differentiate y = x^3 +x^2 - 4x +5 with respects to x.


Find the equation of the tangent to the curve y = 4x^2 (x+3)^5 at the point (-1, 128).


factorise x^3 + 3x^2 - 13x - 15


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