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 ▸

A curve has the equation y = x^4 - 8x^2 + 60x + 7. What is the gradient of the curve when x = 6?


What is the binomial distribution and when should I use it?


Find dy/dx for y = x^3*e^x*cos(x)


y = x^x, find y'