If y = sec(z)tan(z)/sqrt(sec(z)) then find the indefinite integral of y with respect to z.

Using the substitution u = sec(z)=> du = sec(z)tan(z) dz.So, the integral ∫ y dz = ∫ sec(z)tan(z)/sqrt(sec(z)) dz=> ∫ y dz = ∫ 1/sqrt(u) du = 2sqrt(u) + C = 2sqrt(sec(z)) + C.

JM
Answered by Jordan M. Maths tutor

7138 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What are the solutions of (x^3)+6 = 2(x^2)+5x given x = 3 is a solution?


Differentiate 4(x^3) + 3x + 2 with respect to x


Find dy/dx, given that y=(3x+1)/(2x+1)


What is differentiation


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning