MYTUTOR SUBJECT ANSWERS

435 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

251 SUBJECT SPECIALISTS

£20 /hr

Alex C.

Degree: Natural Sciences (Bachelors) - University College London University

Subjects offered: Maths, Physics+ 3 more

Maths
Physics
Further Mathematics
Chemistry
.BMAT (BioMedical Admissions)

“Hi, I'm a first year undergraduate at University College London studying Natural Sciences. I've always had a passion for science and think that tutoring is a great way to bring that across and inspire it in others.  In the past I've t...”

£30 /hr

Brad D.

Degree: Natural Sciences (Masters) - Durham University

Subjects offered: Maths, Physics

Maths
Physics

“About me: Hey everyone, I'm Brad! I'm studying for a Masters degree in Natural Sciences at Durham, specializing inMaths and Physics. Even while studying at school, I loved the sciences, and I loved being able to help people fully come...”

£20 /hr

William D.

Degree: Mechanical Engineering (Masters) - Leeds University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Italian
Chemistry

“I am a British student currently in the first year of a masters degree in Mechanical Engineering at the University of Leeds. Having previously lived in Spain and Italy, I am fluent in both languages and have excellent communications s...”

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

What is 'completing the square' and how can I use it to find the minimum point of a quadratic curve?

Express 3 cos θ + 4 sin θ in the form R cos(θ – α), where R and α are constants, R > 0 and 0 < α < 90°.

How do you integrate the function cos^2(x)

How do we differentiate y = arctan(x)?

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