Find the area between the positive x axis and the line given by y=-(x^2)+2x

The first piece of understanding needed to answer this question is that integration can be used to find the area under a graph between two points. However, before we can integrate we must find the bounds between which we should integrate. With the aid of a graph we can see that those bounds are the two roots of the quadratic. By factorizing we can show that they are x=0 and x=2. Now we integrate:-x2+2x between the bounds x=0 and x=2, with respect to x. This gives us the final answer of 4/3.

Answered by Maths tutor

3011 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the general solution to the differential equation '' (x^2 + 3x - 1) dy/dx = (2x + 3)y ''


Differentiate y= 2^x


A ball is projected vertically upwards from the ground with speed 21 ms^–1. The ball moves freely under gravity once projected. What is the greatest height reached by the ball?


Solve the differential equation dx/dt = -2(x-6)^(1/2) for t in terms of x given that x = 70 when t = 0.


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