Find the integral of: sin^4(x)*cos(x)dx

This is a standard integral of the type f'(x)*f(x)n. To find the solution, we trial d/dx(f(x)n+1). d/dx(sin5(x)) = 5sin4(x)cos(x). this looks similar to the integral we were asked to solve, apart from a factor of 5. so we multiply by 5 inside the integral, and divide by 5 outside the integral. now that the inside of the integral looks like 5sin4(x)cos(x), we know this integrates into sin5(x). so the solution is (1/5)*sin5(x)

Related Maths A Level answers

All answers ▸

Find the derivative, dy/dx, of y = 8xcos(3x).


express the following fraction in the form of m + (n)^1/2. the fraction is ((3*(5)^1/2)^2 - 7)/(3 + 7*(5)^1/2). where m,n are real numbers.


The probability function of a discrete random variable X is given by p(x)=x^2 x =1,2,3. Find E(X)


Differentiate the function y = 26 + x - 4x³ -½x^(-4)


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