Question

integral sqrt(((1-cos(x))/2))

Answer 1

too many bracket there :p
can u figure out of it

Answer 2

integral sqrt((1-cos(x))/2)

Answer 3

hint : sqrt((1-cos(x))/2) = sin(x/2)

Answer 4

use the basic formula : int (sinAx) = -cos(Ax)/A

Answer 5

oh nice thank you!

Answer 6

what ur answer, show to me for verify

Answer 7

-2cos(x/2)+c

Answer 8

yes, that's right

Answer 9

integral 4tan^3(x)dx ?

Answer 10

tan^3 x = tan^2 x tanx = (sec^2 x -1)tanx = sec^2 x tanx - tanx
then, integrate

Answer 11

how do you integrate the last part?

Answer 12

case I : int(sec^2 x tanx) dx
let u=tanx
du=sec^2 x dx
it can be int(u) du = 1/2 * u^2 = 1/2 * tan^2 x

Answer 13

case II ; - int(tanx) dx = -(sinx/cosx) dx
let u=cosx
du = -sinx dx
so, - int(tanx) dx = 1/u du = ln(u) = ln(cosx)

Answer 14

so, the answer is 1/2 * tan^2 x + ln(cosx) + c

Answer 15

i hope this make sense for u :*

Answer 16

it does thank you!

Answer 17

will you be available tomorrow?

Answer 18

welcome...
not sure
if u have problems u can tag me or inbox, so next time i can read it

Answer 19

sorry, i want to play table tennis now.... byee

Answer 20

thanks. have fun!

Answer 21

integral 25cos^2(x)

Answer 22

sorry... i just new online
use identity : cos^2 x = (1+cos2x)/2
so, int (25cos^2 x) dx
= int (25(1+cos2x)/2) dx
= int (25/2 + (25cos2x)/2) dx
= (25/2) x + (25/4) sin2x + c
because sin2x = 2sinxcosx
it also can be
= (25/2) x + (25/4) 2sinxcosx + c
= (25/2) x + (25/2)sinxcosx + c