MYTUTOR SUBJECT ANSWERS

394 views

How can I integrate e^x sinx?

Such an integral looks difficult to manage; clearly it is a case of integration by parts, but neither part of the product appears to reduce easily into a nicer form.

The key here is use the fact that sinx has a cyclic pattern when it is repatedley differentiated. Keeping our orignal integral on the left hand side, after two applications of integration by parts, where sinx is the term to be differentiated, we obtain a second intance of the integral on the right hand side of the equation. Moving this integral to the left hand side with our original integral and dividing the equation by two, we acquire the required result.

Alex W. GCSE Maths tutor, A Level Maths tutor, Uni Admissions Test Ma...

2 years ago

Answered by Alex, an A Level Maths tutor with MyTutor


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

182 SUBJECT SPECIALISTS

£22 /hr

Anna H.

Degree: Natural Sciences with Year Abroad (Bachelors) - Durham University

Subjects offered: Maths, Biology

Maths
Biology

“Experienced tutor from Durham University, ready to help you improve your grades.”

£20 /hr

Harry R.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Economics
Chemistry

“Hello, My name is Harry Read and I am a second year mathematics student at the University of Bristol. Prior to joining Bristol University, I studied maths, physics, chemistry and economics at A Level and achieved A*AAA respectively. I ...”

£20 /hr

Grace C.

Degree: Physics with a Year Abroad (Masters) - Edinburgh University

Subjects offered: Maths, -Personal Statements-

Maths
-Personal Statements-

“I am a physics student at The University of Edinburgh and ever since reading National Geographic Kids magazines, I've been in love with our world ad how it works. I've learned that mathematics is really at the heart of everything and I...”

MyTutor guarantee

About the author

Alex W.

Currently unavailable: no new students

Degree: Mathematics and Philosophy (Masters) - Oxford, Pembroke College University

Subjects offered: Maths, Philosophy+ 4 more

Maths
Philosophy
Further Mathematics
Extended Project Qualification
English Literature
.MAT.

“Experienced tutor, a second year Maths and Philosophy student from Oxford, with a history of helping students of all abilities to raise their Maths, English and Philosophy grades.”

You may also like...

Posts by Alex

How can I integrate e^x sinx?

Why is the "No False Lemmas" approach an inadequate repair to the JTB account of knowledge?

Other A Level Maths questions

x = 2t + 5, y = 3 + 4/t. a) Find dy/dx at (9.5) and b) find y in terms of x.

What is a moment and how do I calculate it?

Show that 2sin(2x)-3cos(2x)-3sin(x)+3=sin(x)(4cos(x)+6sin(x)-3)

Find the stationary point of y=3x^2-12x+29 and classify it as a maximum/minimum

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