Friday

January 30, 2015

January 30, 2015

Posted by **Jay** on Thursday, June 7, 2012 at 12:15am.

∫ sec^3(x)tan^3(x) dx

∫ sec^3(x)tan(x)(sec^2(x)-1) dx

∫ tan(x)sec(x)[sec^4(x)-sec^2(x)] dx

∫ tan(x)sec(x)[(tan^2(x)+1)^2-tan^2(x)-1] dx

∫ tan(x)sec(x)(1+2tan(x)+tan^2(x)-tan^2(x)-1) dx

∫ 2tan^2(x)sec(x) dx

∫ 2(sec^2(x)-1)sec(x) dx

∫ 2sec^3(x)-2sec(x) dx

2∫ sec^3(x) dx -2∫ sec(x) dx

*reduction formula

2tan(x)sec(x)-ln(tan(x)+sec(x))

- calculus (check my work please) -
**Bosnian**, Thursday, June 7, 2012 at 12:47amIn google type:

wolfram alpha

When you see lis of results click on:

Wolfram Alpha:Computational Knowledge Engine

When page be open in rectangle type:

integrate sec^3(x)tan^3(x) dx

and click option =

After few secons you will see result.

Then click option Show steps

- calculus (check my work please) -
**Jay**, Thursday, June 7, 2012 at 12:52amI did, I got a completely different result. Also, SAY SOMETHING USEFUL NEXT TIME!!! tired of you spamming that stupid reply

- calculus (check my work please) -
**Bosnian**, Thursday, June 7, 2012 at 1:06amTry to simplify your "different answers".

Probably your "different answers" is same solutions write in different form.

- calculus (check my work please) -
**Jay**, Thursday, June 7, 2012 at 2:19amright, because my answer can be simplified into:

sec^5(x)/5-sec^3(x)/3

**Answer this Question**

**Related Questions**

Calculus - Greetings, So I've been working on this problem: H(x) = (x^4 - 2x +7...

third grade math - how do you check addition problems by adding up? Let's use ...

math - Generalize this to fine a formula for the integral: sin(ax)cos(bx)dx ...

calculus - f(x) = 6x^2 -8x +3 how would I find the most general antiderivative ...

calc - d/dx integral from o to x of function cos(2*pi*x) du is first i do the ...

calc check - <<y=(1/A)*integral from a to b of: (1/2)[f(x)]^2 dx >> ...

Calculus III - I'm supposed to find the expression 'y', when (x^2+100)y'=23 When...

Math (Check) - The equation y = a^x is a decreasing function a = 1) 1 2) 2 3) -3...

MATh (check my answer please) - A salesperson makes a flat fee of $20 per day ...

Algebra - - ok... we keep getting this one wrong: Solve the following equation ...