Write an equivalent expression in expanded form. 8(-x+1/4)

Mathematics

1 answer:

professor190 [17]2 years ago

7 0

Answer:

-8x + 2

Step-by-step explanation:

8(-x+1/4)

(8*(-x)] +(8 x 1/4)

-8x + 2

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Evaluate k(x) = -k - 7 when k(-4)

FinnZ [79.3K]

Answer:

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2 years ago

Can somebody explain this to me when 2du = 16xdx ???

tamaranim1 [39]

When you set $u=4x^2+4$ , you end up with the differentials $\mathrm du=8x\,\mathrm dx$ . Multiplying both sides by 2 gives $2\,\mathrm du=16x\,\mathrm dx$ .

Then the integral is

$\displaystyle\int_0^1\frac{16x}{(4x^2+4)^2}\,\mathrm dx=\int_4^8\frac2{u^2}\,\mathrm du=-\frac2u\bigg|_{u=4}^{u=8}=-2\left(\frac18-\frac14\right)=\frac14$