Monday, March 17, 2008

Integration of sin x and cos x

This section is for integration questions on sin x and cos x

15 comments:

cokebaby said...

anybody konw how to integrate a trig function???? i tink it follows the same pattern as integration of a polynomial. ie just add 1 to the power and divide by the power. for example
find the integral of cos 2x
that is sin 2x^2/2. Wat

MOoSe said...

i was helping ah bredrin with ah maths problem and came across something interesting
if the differential of cosx = -sinx
then what is the differential of
-cosx
blogbakes help meh out na

tweety said...

moose i think that the differential of -cosx will be equal to sinx i'm not sure i'm guessing cuz if the differential of cosx = -sinx then -cosx = sinx
correct if i wrong

Copy Cat said...

The integration of sin x is cos x, and the integration of cos x is
-sin x. but be careful that when u difrentiate 5 cos x = -5 cos x and not :5 -cos x , note as well if u have to defrentiate -cos x = sin x.

marz said...

MAY I PLEASE ASK SOMEONE TO POST AND EXAMPLE OF INTEGRATION.I WAS NOT WELL AT THE TIME WHEN IT WAS TAUGHT.IM WILIING TO LEARN IF YOU ALL WANT TO HELP.

GIVE IT ATRY COKE BABY

marz said...

well moose first time i saw -cosx and i think it is a really interesting comment you made.
you have me thinking now.

space_alien said...

To marz

intregration is oppsite function to differentiation eg. when you differentiate y= 4x^2
dy/dx = 8x

but when you intregrate you increase the power by 1 and then
divide the coefficient by the power eg. y = 4x^2
dy/dx =4x^3/3

marz said...

hey thanks space alien. that was a real simple example.
i understand that but i know it get harder than that what about if you get an integration with sin x or cos x what do u do

space_alien said...

To Marz

Well the integral of sinx =-cosx but cos x = sin x

I think

If any one wishes to make corrections by all means go right ahead.

space_alien said...

∫(3√x+1/2√x-1/4)dx

Can anyone help me in solve such an integration problem as this one?

cruiser said...

ent integrating a trig function u must instead of subtracting the power you add and divide instead of multiplying the coefficient but what happens if you have sinx or cosx???

Dante' said...

EVERYONE!!!!!.....................
what is the difference when you integrate cosx and -sinx?

MOoSe said...

space alien that question u put up looking reel hard wheyy
small ting i go try for your sake and mine

remember 3 root x = 3x^1/2
and 1/2 root x = 1/2x^-1/2
so here what with these conversions or rather rearrangements
see if u cld solve it na

ps how are u getting square root sign to post your keyboard reel bad lol

cruiser said...

Dante I am a bit confused with that question hmm le me see

I think the difference is due to the signs ????

jason501 said...

to do your sum sapce alien all you have too do is first simplify the expression whereas change the sq. roots to 1/2 then integrate like normal.