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 ▸

What is the equation of the tangent to the circle (x-5)^2+(y-3)^2=9 at the points of intersection of the circle with the line 2x-y-1=0


Using the trigonometric identity (sinx)^2 + (cosx)^2 = 1, show that (secx)^2 = (tanx)^2 + 1 is also a trigonometric identity.


Differentiate the function f(x) = 2x^3 + (cos(x))^2 + e^x


Consider the function f(x) = 2/3 x^3 + bx^2 + 2x + 3, where b is some undetermined coefficient: