MYTUTOR SUBJECT ANSWERS

431 views

How do I integrate sin^2(x)?

First, remember the compound angle formula for cosine:

cos(2x)=cos^2(x)-sin^2(x).  Now use the identity sin^2(x)+cos^2(x)=1 to give:

cos(2x)=(1-sin^2(x))-sin^2(x)=1-2sin^2(x)

Rearranging this so we have sin^2(x)=1/2(1-cos(2x))

Replace this with the original integration and use the chain rule to get:

1/2(x-1/2sin(2x))+c

Christopher D. GCSE Maths tutor, A Level Maths tutor, A Level Further...

2 years ago

Answered by Christopher, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

255 SUBJECT SPECIALISTS

£20 /hr

Carlo M.

Degree: Physics (Bachelors) - Kings, London University

Subjects offered: Maths, Physics

Maths
Physics

“I am a Physics student at King’s College London. I have a passion for maths and physics, and hope to be able to share it with you too. Having completed the IB, I have a good knowledge of how it works and look forward to helping you ach...”

MyTutor guarantee

£22 /hr

Anahita G.

Degree: Maths and Economics (Bachelors) - York University

Subjects offered: Maths, Science+ 3 more

Maths
Science
Economics
Chemistry
.TSA. Oxford.

“I am a maths and economics student at the University of York. I have always loved logical and analytical subjects, for example Maths and the Sciences. I also particularly enjoy economics as there are countless ways to analyse and conc...”

£20 /hr

Caroline H.

Degree: Chemistry (Masters) - Edinburgh University

Subjects offered: Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“I am a chemistry student at Edinburgh University. Although I have achieved highly I have always had to put in a little more effort than most going through material just that extra time. I am keen to be able to offer others the support ...”

About the author

Christopher D.

Currently unavailable: until 15/03/2016

Degree: Maths (Masters) - York University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“First year Maths student. Love my subject and looking forward to tutoring anyone at GCSE or A-level”

You may also like...

Other A Level Maths questions

What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?

If (m+8)(x^2)+m=7-8x has two real roots show that (m+9)(m-8)<0 where m is an arbitrary constant

How do I express y=acosx+bsinx in the form y=Rcos(x-c)?

Find the tangent to the curve y=x^3+3 at the point x=1.

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok