Integrate cos(x)sin^2(x)
Answer: sin^3(x)/3 + c
The student can either solve by inspection by noticing that the derivative of sin^3(x)=3sin^2(x)cos(x).
OR
The student can use the longer method of integration by parts.
MS
Related Maths A Level answers
All answers ▸Let C : x^2-4x+2k be a parabola, with vertex m. By taking derivatives or otherwise discuss, as k varies, the coordinates of m and, accordingly, the number of solutions of the equation x^2-4x+2k=0. Illustrate your work with graphs
Differentiate y=sin(x)*x^2.
Find the general solution, in degrees, of the equation 2sin(3x+45°)=1. Use your general solution to find the solution of 2sin(3x+45°)=1 that is closest to 200 °.
How do I maximise/minimise a given function f(x)?