MYTUTOR SUBJECT ANSWERS

524 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

260 SUBJECT SPECIALISTS

£20 /hr

Iebad A.

Degree: Aerospace Engineering (Masters) - Sheffield University

Subjects offered:Maths, Italian

Maths
Italian

“About me: Hello, my name is Iebad and I am an aerospace engineering student at The University of Sheffield. As an engineer, maths is the key to unlock all the solutions to our problems in this field. Since the early years I had a broad...”

£22 /hr

Amilah C.

Degree: Physics with a year abroad (Masters) - Edinburgh University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“Hi there, welcome to me page! About Me: I am currently studying Physics at the University of Edinburgh. From a young age, science has always been a passion of mine, and hopefully I can convey this in my tutorials. Previously, I found...”

£36 /hr

Joe B.

Degree: Mathematics G100 (Bachelors) - Bath University

Subjects offered:Maths, Further Mathematics + 4 more

Maths
Further Mathematics
Economics
.STEP.
.MAT.
-Personal Statements-

“About Me Hi, I'm Joe, a first year mathematics student from Luton studying at Bath University. I am an accomplished mathematician and economist, having achieved A* grades in A Level Maths, Further Maths and Economics in June 2016. As ...”

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

differentiate y=(4x^3)-5/x^2

A rollercoaster stops at a point with GPE of 10kJ and then travels down a frictionless slope reaching a speed of 10 m/s at ground level. After this, what length of horizontal track (friction coefficient = 0.5) is needed to bring the rollercoaster to rest?

Solve the differential equation dy/dx = y/x(x + 1) , given that when x = 1, y = 1. Your answer should express y explicitly in terms of x.

Write down two reasons for using statistical models

View A Level Maths tutors

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

mtw:mercury1:status:ok