Integrate sin7xcos3x

Let A=7x and B=3x( From the formulae we know that sinxcosx= 1/2(sin(A+B)+sin(A-B))So if we replace A=7x and B=3x in this equation: 1/2(sin(7x+3x)+sin(7x-3x))= = 1/2 (sin(10x)+sin(4x))Now we just integrate 1/2(sin(10x)+sin(4x)), which will give the answer: -cos(10x)/20-cos(4x)/8+C

Answered by Frances P. Maths tutor

5122 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you integrate sin^2(3x)cos^3(3x) dx?


Simplify: (log(40) - log(20)) + log(3)


The quadratic equation 2x^2 + 8x + 1 = 0 has roots x1 and x2. Write down the value of x1+x2 and x1*x2 and find the value of x1^2 + x2^2


Differentiate y = 2xln(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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences