Monday
April 21, 2014

Homework Help: Calculus AP

Posted by Vicky on Saturday, September 22, 2012 at 10:54pm.

I'm doing trigonometric integrals
i wanted to know im doing step
is my answer right?

∫ tan^3 (2x) sec^5(2x) dx
=∫ tan^2(2x) sec^4(2x) tan*sec(2x) dx
=∫ (sec^2(2x)-1)sec^4 tan*sec(2x) dx
let u=sec x, du= 1/2 tan*sec(2x) dx
=1/2∫ (u^2(2x)-1) u^4 du
=1/2∫ (u^8(2x)-u^4) du
=1/2 sec^9/9-sec^5/5 +c

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

AP Calculus - how do you evaluate integral of [lxl] from (0,2) , a step function...
calculus - [integrals]2/tsqrt(t^4+25) integrals of two over t square root of t ...
Calculus (Definite Integrals) - How many definite integrals would be required to...
Calculus AB - Consider the region bounded by the graphs of the equations x=y^2 ...
calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...
calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...
Calculus - I have two questions, because I'm preparing for a math test on monday...
MATH 2B Calculus - Consider the area between the graphs x+4y=14 and x+7=y^2. ...
Calculus - evaluating integrals - I'm really having trouble with this current ...
ap calculus - Which of the following definite integrals gives the length of y = ...

Search
Members