Find the indefinite integral tan(5x)tan(3x)tan(2x)
Noticing that tan(5x) = tan(3x+2x) we use the tan compound angle formula to find tan(5x) = (tan(2x)+tan(3x))/(1-tan(2x)tan(3x)) and thus tan(5x)tan(3x)tan(2x) = tan(5x)-tan(3x)-tan(2x). From then we can integrate the parts of the sum individually as normal. Remembering that if F(x) = integral of f(x) dx then the integral of f(ax) dx = 1/a F(ax)
SO
Related Maths A Level answers
All answers ▸How would you differentiate 3x^4 - 2x^2 + 9x - 1
A curve has equation y = 4x + 1/(x^2) find dy/dx.
Find the derivative of the following expression: y=x^3+2x^2+6x+5.
Split the following expression into partial fractions of the form A/(x-3) + B/(4x+2) : (19x-15)/(4x+2)(x-3)