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).

Related Maths A Level answers

All answers ▸

integrate 6x^2


Find a solution to sec^(2)(x)+2tan(x) = 0


Integrate (x+3)/(x(x-3)) with respect to x


Solve the pair of simultaneous equations; (1) y + 4x + 1 = 0, (2) y^2 + 5x^2 + 2x = 0 .


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences