Help pls | Mathematics | Page 1

real salmon Dec 30, 2022, 5:24 PM

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can anyone help me, i think it’s A but i’m unsure

turbid tangle Dec 30, 2022, 5:27 PM

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real salmon can anyone help me, i think it’s A but i’m unsure

Let F(t) be the antiderivative of cos(t)^20, so F'(t) = cos(t)^20.
Then the integral is equal to F(x) - F(0).
What happens when you differentiate that result by x?

tribal kiln Dec 30, 2022, 5:33 PM

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yummy FFTOC

real salmon Dec 30, 2022, 5:40 PM

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uhhh

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it’s got to be D then

turbid tangle Dec 30, 2022, 5:40 PM

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No.

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Again, remember that your integral is F(x) - F(0) and F'(x) = cos(x)^20.

real salmon Dec 30, 2022, 5:44 PM

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Ok it’s C

tribal kiln Dec 30, 2022, 5:44 PM

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cos²⁰x-cos²⁰0=cos²⁰x-1

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cos of 0 is 1

turbid tangle Dec 30, 2022, 5:47 PM

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real salmon Ok it’s C

Yes.

turbid tangle Dec 30, 2022, 5:47 PM

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tribal kiln cos²⁰x-cos²⁰0=cos²⁰x-1

No, that's just f(x) - f(0).

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The antiderivative is pretty long, but we don't need it.

real salmon Dec 30, 2022, 5:48 PM

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thank u guys

tribal kiln Dec 30, 2022, 5:49 PM

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f'(F(x)-F(0))=f(x) because F(0) is a constant yeah

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you're right

#Help pls