WEBVTT
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Okay, so we're being asked to find the intuitive
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after satisfies the skin conditions. So, um,
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let's go ahead. And we're going to take the
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integral of f of X. So this is gonna
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be four minus three and this can be rewritten X
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square plus one dx. And then we can further
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break this down so we can say four. Integral
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of DX minus three. Integral. Uh, X
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square plus one. Oh, Dino, X square
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plus one is going to be one over X square
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plus one. And this is D X. So
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now this is a actually pretty simple integration. So
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this is this one is going to become excessively four
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X and then minus three and then one of her
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X squared plus one. Well, that's just 10
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inverse acne and then nobody across Constant. Now,
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since this is our capital afra, Becks, we
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can go ahead and plug an f of one so
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f of one. Well, what does that give
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us that gives us, uh, four minus,
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uh three Qianjin Invert, uh x and so and
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plus C and this is all equal to zero.
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Um and this is four times one and then this
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is gonna be four. And in tangent of one
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, uh, 4, 10 10 Inverse of one
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is pi over four. There's gonna be three pi
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over four plus equals zero is all for C.
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The C comes out to be three pi over four
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, my, uh, minus four. And then
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our official anti derivative is going to be four minus
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3 10 in verse X plus three pi over four
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, minus four. And, um, these four
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actually canceled. So we left the negative 3 10
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and verse six plus three point before, and this
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is our function.