Monday

March 2, 2015

March 2, 2015

Posted by **Shelley** on Monday, January 29, 2007 at 1:23am.

1. integral from 0 to pi/4 of (tanx^2)(secx^4)dx

It says u = tan x to substitute

So if I use u = tan x, then my du = secx^2

then I have integral of (u^2)

then (1/3)u^3.....to get (1/3)tanx^3 then solve as 0 to pi/4 .......is that right?

__________________________________

2. integral from 0 to 2root3 of (x^3)/(root(16-x^2))

I am pretty sure this has something to do with trig substitution. is it something with tan-1 or cos(theta)?

I am not sure how to go about this one at all.

Thanks again! =)

. integral from 0 to pi/4 of (tanx^2)(secx^4)dx

It says u = tan x to substitute

So if I use u = tan x, then my du = secx^2

then I have integral of (u^2)

INT u^2 sec^2x du

how are you going to get rid of the sec^2 x?

second: draw the imaginary triangle, 4 is the hypotenuse, with angle theta , x is the opposite side, the adjacent side is sqrt (16-x^2)

then (1/3)u^3.....to get (1/3)tanx^3 then solve as 0 to pi/4 .......is that right?

**Answer this Question**

**Related Questions**

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 ...

Math - I can't find the integral for (tanx)^(6)*(secx)^(2) I tried splitting up ...

Calc - Evaluate the integral using any method: (Integral)sec^3x/tanx dx I ...

integral Calculus - ʃ (4sin²x cos²×/sin2x cos2x)dx i've got it from the ...

Math - Im really struggling with these proving identities problems can somebody ...

Pre-Calc - Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= ...

precal - 1/tanx-secx+ 1/tanx+secx=-2tanx so this is what I did: =tanx+secx+tanx-...

calc - evaluate the integral: y lny dy i know it's integration by parts but i ...

CALCULUS - Please help.. ʃ (4sin²x cos²×/sin 2x cos 2x)dx That's ...