Find the integral of (sinxcos^2x) dx

To find the Integral of (sinxcos^2x) dx, we must first use our knowledge of integration and differentiation of simple trigonometric functions. Such as Sinx and Cosx. Combined with our knowledge of integrating functions of functions such (1+x)^2 or (sinx)^2. By working backwards and thinking about what we would have to differentiate to get close to sinxcos^2x. We can determine that cos^3x would give us -3sinxcos^2x. Thus the integral of (sinxcos^2x) dx is -1/3cos^3x.

Answered by Zachary S. Maths tutor

13233 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The variables x and y are related by y = 5^x. How do I find the value of x when y is set to 15?


A curve is described by f(x) = x^2 + 2x. A second curve is described by g(x) = x^2 -5x + 7. Find the point (s) where both curves intersect.


Differentiate x^2 from first principles


How can I determine the characteristics of a curve on an x-y set of axis (eg. points of intersection, stationary points, area under graph)?


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