Find the area bounded be the curve with the equation y = x^2, the line x = 1, the line x = -1, and the x-axis.

The answer is 2/3. This can either be obtained by performing a standard integration of y=x^2, using the power rule, between x = 1 and x = -1. Alternatively, integrate y = x^2 between x = 0 and x = 1, then double the result after noticing that y = x^2 is an even function.The latter way avoids dealing with having to cube negative numbers if calculation is not a strong point for the student.

IA
Answered by Isaac A. Maths tutor

2692 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the velocity of the line from vector A(3i+2j+5k) to vector B(10i-3j+2k)?


A curve is defined with the following parameters; x = 3 - 4t , y = 1 + 2/t . Find dy/dx in terms of x and y.


How do we differentiate y=a^x when 'a' is an non zero real number


By integrating, find the area between the curve and x axis of y = x*exp(x) between x = 0 and x = 1


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