2 years ago

Help me please, asap i’m so confused :(

1 answer:

amm18122 years ago

8 0

What is the lalalallalalalaa

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scoundrel [369]

If 3 is x that means y is -17 so that mean f=-17/3

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3 years ago

Natalka [10]

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Mark brainliest please

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3 years ago

Verizon [17]

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

$\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx$

Let $f(x) = \sqrt{1 + x^3}$ . Compute the inverse:

$f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}$

and we immediately notice that $f^{-1}(x+1)=\sqrt[3]{x^2+2x}$ .

So, we can write the given integral as

$\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx$

Splitting up terms and replacing $x \to x-1$ in the first integral, we get

$\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}$

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1 year ago

Solnce55 [7]

Yea I can help:)! What is it???

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2 years ago

kirill115 [55]

Answer:

Step-by-step explanation:

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3 years ago