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2 years ago

Simplify (-2)(-3) 2-2(2-5)

Mathematics

1 answer:

babymother [125]2 years ago

8 0

Answer:

Step-by-step explanation:

Use PEMDAS to help!!

First Step: (2-5) = -3

Second Step: (-2)(-3), -2(-3)

Third Step: (6)2

Fourth Step: 12 + 6

Fifth Step: 18

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I don't see a square root sign anywhere, so I'll assume the integral is

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Now in the integral, substitute

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Under this change of variables, we have

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$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx=-7\int\sqrt{7^2\cos^2t}\,\cos t\,\mathrm dt=-49\int|\cos t|\cos t\,\mathrm dt$

Under the right conditions, namely that cos(<em>t</em>) > 0, we can further reduce the integrand to

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$\displaystyle-49\int|\cos t|\cos t\,\mathrm dt=-\frac{49}2\int(1+\cos(2t))\,\mathrm dt=-\frac{49}2\left(t+\frac12\sin(2t)\right)+C$

Expand the sine term as

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Then

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So the integral is

$\displaystyle-\frac{49}2\left(\sin^{-1}\left(\dfrac{6-x}7\right)+\dfrac{6-x}7\sqrt{13+12x-x^2}\right)+C$

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