Saturday

April 19, 2014

April 19, 2014

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?

**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 ...

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

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

Calculus - Use the symmetry of the graphs of the sine and cosine functions as an...

Calculus - Hello Everyone, I need help with Calc II. 1. Integral from 0 to 1 of...

Calculus - Int tanx sec^2x dx can be taken as (by putting it in form of Int xdx...

Integration? - Use the derivatives of sinx and cosx to show that d/dx [tanx] = ...