Find the area under the curve y = sin(2x) + cos(x) between 0 and pi/2

to find the area integrate the function between 0 and pi/2:

indefinite integral of y = -1/2 cos(2x) + sin(x) + c

ignore c and input boundary conditions:

[-1/2 cos(pi) + sin(pi/2)] - [-1/2 cos(0) + sin(0)] = [1/2 + 1] - [-1/2 + 0] = 2

HD
Answered by Harry D. Maths tutor

7017 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

differentiate with respect to x: (x^3)(e^x)


Find the equation to the tangent to the curve x=cos(2y+pi) at (0, pi/4)


Integrate x*ln(x) with respect to x


Find the derivative of sin^2(x)


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