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DIA [1.3K]
3 years ago
8

Find the roots by factoring the equation 3x^2+5x-2=0

Mathematics
1 answer:
zysi [14]3 years ago
4 0

Answer:

There is 1 positive and 1 negative root

Step-by-step explanation:

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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?
Temka [501]
Integration by parts will help here. Letting u=\arctan x and \mathrm dv=\mathrm dx, you end up with \mathrm du=\dfrac{\mathrm dx}{1+x^2} and v=x. Now

\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du
\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx

For the remaining integral, setting y=1+x^2 gives \dfrac{\mathrm dy}2=x\,\mathrm dx, so

\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C

Putting everything together, you end up with

\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C
6 0
3 years ago
16 divided 18 = 3 divided n
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7 0
3 years ago
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Katie draws two chords in a circle in a certain way. She then draws in four segments between adjacent endpoints of the chords to
FromTheMoon [43]
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And if it is a square, then the diagonals are perpendicular bisectors meaning the angles would be right angles not acute or obtuse as in Choice D. <span />
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Step-by-step explanation:

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