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
Answered by Daniel C. Maths tutor

3511 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

f(x)=(2x+1)/(x-1) with domain x>3. (a)Find the inverse of f(x). (b)Find the range of f(x). (c) g(x)=x+5 for all x. Find the value of x such that fg(x)=3.


Solve the simultaneous equations: x^2 + 8x + y^2; x - y = 10.


The straight line L1 passes through the points (–1, 3) and (11, 12). Find an equation for L1 in the form ax + by + c = 0, where a, b and c are integers


Determine the tangent to the curve y = sin^2(x)/x at the point, x = pi/2. Leave your answer in the form ax+by+c=0


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences