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 ▸

Matthew gets £100 for his 16th birthday and chooses to invest the money into a bank with a 2% annual interest rate. By which birthday will Matthew have more than £150 in his account?


Integrate the function f(x) = 1/(4x-1)


y = x^x, find y'


What is the probability to obtain exactly 2 heads out of 3 tosses of a fair coin?