how do integrate an equation with a surd or a fraction?

most people are immediately confused when they see a surd or a fraction because they find it hard to apply the rule of integration directly to them. however it is not as complicated as it looks. all that needs to be done is to change the surd to a form that is easier to integrate. for example we know that (rt)x is equal to x^(0.5). when we change the surd to this form we can easily integrate this by adding 1 number to the power and deviding the whole value by the power+1. with a fraction you want to change it in the form of a number with a power too. to do this you bring the denominator with the nominator and change the power of the number you just took to the top to a negative power. and from there integration will be simple.

Answered by Abdullah D. Maths tutor

8330 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A uniform ladder of mass 5 kg sits upon a smooth wall and atop a rough floor. The floor and wall are perpendicular. Draw a free body diagram for the ladder (you do not need to calculate any forces).


(Core 2) Show that the region bounded by the curve y = 7x+ 6 - (1/x^2), the x axis and the lines x = 1 and x = 2 equals 16


How do I rationalise the denominator of a fraction which consists of surds?


A curve with equation y=f(x) passes through the point (1, 4/3). Given that f'(x) = x^3 + 2*x^0.5 + 8, find f(x).


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences