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Over [174]
4 years ago
11

From the statement select the related given statement. In a triangle a segment joining the midpoints of two sides is one-half th

e length of the third side. Plane R is parallel to plane S; Plane T cuts planes R and S. △ABC with ∠1 = ∠2. Point B is between points A and C Line l; point P not on l. △ABC with midpoints M and N.
Mathematics
2 answers:
Natali [406]4 years ago
6 0

Mid M and N hope it helps.

raketka [301]4 years ago
3 0

Answer:

△ ABC with midpoints M and N.

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Find the indefinite integral using the substitution provided.
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=======================================================

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Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

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This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

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