Posted by **mathstudent** on Wednesday, November 7, 2007 at 8:57pm.

How do I derive the secant reduction rule?

Integral (sec x)^n dx

= Integral (sec x)^(n-2) * (sec x)^2 dx

= Integral ((tan x)^2 + 1)^(n/2-1) * (sec x)^2 dx

Doing a substitution with:

u = tax x

du = (sec x)^2 dx

= Integral (u^2 + 1)^(n/2-1) * du

At this point I'm stuck. Any ideas? Thanks!

## Answer this Question

## Related Questions

- calculus - Use integration by parts to evaluate the integral of x*sec^2(3x). My ...
- calculus (check my work please) - Not sure if it is right, I have check with the...
- Calc - Hello im trying to integrate tan^3 dx i have solved out the whole thing ...
- Calc - Hello im trying to integrate tan^3 dx i have solved out the whole thing ...
- Integration - Intergrate ¡ì sec^3(x) dx could anybody please check this answer. ...
- Calculus - Integration - Hello! I really don't think I am understanding my calc ...
- integral confusion - integral of Sec[2x]Tan[2x] i know u is sec 2x du=...
- Calculus - Evaluate the indefinite integral integral sec(t/2) dt= a)ln |sec t +...
- calculus - Calculate definite integral of dx/(x^4 * sqrt(x^2 + 3)) Over (1,3) I ...
- calculus - find dy/dx y=ln (secx + tanx) Let u= secx + tan x dy/dx= 1/u * du/dx ...

More Related Questions