What is the area bound by the x-axis, the lines x=1 and x=3 and the curve y=3x^(2)-1/x ? Answer in exact form.

Integrate, y= 3x-1/x

 1{3x- 1/x dx = [x-lnx]31= (3-ln3)-(1-ln1) = 3-ln3-1+0= 2-ln3

EL
Answered by Escher L. Maths tutor

3744 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How should I go about solving a quadratic equation?


Differentiate with respect to x: 4(x^3) + 2x


Solve the simultaneous equations: x^2 + 8x + y^2; x - y = 10.


Solve for 0 =< x =< 360 16/(cos(x+25)+1) = 10, give answers to 2 d.p.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences