integration
2006-07-15 01:01:21 · 12 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
xsin x +cos x +C
Why is it that those that get the anti-derivative right also forget the constant?????
2006-07-15 02:54:33 · answer #1 · answered by mathematician 7 · 2⤊ 6⤋
Integrate Xcosx
2016-11-11 01:42:56 · answer #2 · answered by dierks 4 · 0⤊ 0⤋
Integral Of X Cos X
2017-01-01 08:07:30 · answer #3 · answered by ? 4 · 0⤊ 0⤋
This Site Might Help You.
RE:
integration of xcosx?
integration
2015-08-14 09:45:30 · answer #4 · answered by Tucky 1 · 0⤊ 0⤋
Integration by parts. The function is a product of two functions:
(x) * (cosx)
Call one of them "u" and the other "dv"
Choose the "u" so that its derivative simplifies
u = x
du = 1*dx
dv = cosx
v = sinx
This is for the formula setup, which is
u*v - Integral (vdu)
=xsinx - Integral(sinx * 1 * dx)
=xsinx - (-cosx) + C
= xsinx + cosx + C
2006-07-15 12:23:53 · answer #5 · answered by Anonymous · 2⤊ 0⤋
⌠ x cosx dx
Use the intergration by parts formula: ⌠u dv = uv - ⌠v du
Let u = x
du/dx = 1 → du = dx
Let dv = cosx dx
⌠ dv = ⌠ cos x dx
v = sin x
Now fill in the information into the formula:
⌠u dv = uv - ⌠v du
⌠ x cosx dx = x sinx - ⌠ sinx dx
= x sinx - (-) cosx
= x sinx + cosx (Answer)
Now differentiate the answer with the following formula:
uv = u dv/dx + v du/dx
Let u = x and v = Sin x
du/dx = x cosx + sinx(1) + (- sinx)
= x cosx (Answer confirmed).
2006-07-15 08:58:13 · answer #6 · answered by Brenmore 5 · 11⤊ 0⤋
Try integration by "parts".
2006-07-15 01:05:46 · answer #7 · answered by bobweb 7 · 2⤊ 2⤋
int udv = uv- int vdu
intgral of cox = sin x
cosx = d(sinx)/dx
int xcosx dx = int x d(sinx) = x.sinx - int(sinx.1. dx)
= x sinx - int(sinxdx)
= xsinx + cos x(integral of sin x = -cos x) +c where c is arbritary constant
2006-07-15 01:11:54 · answer #8 · answered by Mein Hoon Na 7 · 9⤊ 0⤋
xsinx+cosx
2006-07-15 01:45:09 · answer #9 · answered by omar g 2 · 1⤊ 2⤋
I guess,
x^2/2 * sin x
2006-07-15 01:21:18 · answer #10 · answered by nayanmange 4 · 0⤊ 4⤋
ans: x sinx + c ( reason for c is because this is an indefinite integral)
2006-07-15 02:05:34 · answer #11 · answered by -mystic- 2 · 0⤊ 6⤋