Question

Evaluate the integral! From 0 to pi/3 of 4sec x tan x dx

Answer 1

\[\int\limits_{0}^{\pi/3} 4\sec x \tan x\]

Answer 2

i am helpi u right noe

Answer 3

Like i get the basic jist of integrals i just get stuck on finding the antiderivative

Answer 4

oka

Answer 5

see if you can think of a function whose derivative is \(\sec(x)\tan(x)\)

Answer 6

or look in the book for the derivatives of trig functions. you will see it

Answer 7

i cant find the anser

Answer 8

sec 4x and they just applied the chasin rule?

Answer 9

chain*

Answer 10

easier than that

Answer 11

if you take the derivative of \(\sec(4x)\) you will get \(4\sec(4x)\tan(4x)\) which is not at all what you want.
just leave the constant alone and take \(4\sec(x)\)

Answer 12

plug in \(\frac{\pi}{3}\) plug in \(0\) and subtract
actually forget 0 because \(\tan(0)=0\)

Answer 13

ok perfect i can do it from here thanks :)

Answer 14

yw

Answer 15

answers 2 right?

Answer 16

yes