Integrate y with respect to x, where y = cos(x)/[1+tan^2(x)]

y = cos(x)/sec2(x) = cos3(x)

y = cos(x)(1-sin2(x)) = cos(x) - cos(x) sin2(x)

-> sin(x) - sin3(x)/3 + c

DC

Related Maths A Level answers

All answers ▸

A curve with equation y=f(x) passes through the point (1, 4/3). Given that f'(x) = x^3 + 2*x^0.5 + 8, find f(x).


ln(2x^2 + 9x – 5) = 1 + ln(x^2 + 2x – 15). Express x in terms of e


Find dy/dx in terms of t for the curve defined by the parametric equations: x = (t-1)^3, y = 3t - 8/t^2, where t≠0


Find the gradient of the exponential curve y(x)=(9e^(7x))/(12e^(2x)) at x=2/5