Integrate sec^2(x)tan(X)dx

This can be done with integration by substitution. If we let u=tanx then du/dx=sec^2(X). If we substitute U into the integrand we get it being u(sec^2(X))dx. rearranging the du/dx equation to make dx the subject and we get dx=1/(sec^2(x)) du and so subbing this into the equation we see the sec^2(x) cancel. This leaves the integral of udu, which gives 1/2(u^2) + c, which is (1/2)tan^2(x) + c when subbing u=tan(x) back in.

Answered by Amin Z. Maths tutor

19995 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Evaluate the indefinite integral when the integrand function is tan(x).


Express 3(x^2) - 12x + 5 in the form a(x - b)^2 - c.


Find the exact solution to: ln(x) + ln(7) = ln(21)


Show that cosh(x+y) = cosh(x)cosh(y) + sinh(x)sinh(y)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences