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3 years ago

Help me pls pls pls

Mathematics

1 answer:

-BARSIC- [3]3 years ago

5 0

Answer:

hdjdndjbzsbshsbs sbsbsbs

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Indefinite integral need help pleaseeeeeee

tatiyna

Integrate indefinite integral:
$I=\int\frac{dx}{e^{2x}+3e^x+2}dx$

Solution:
1. use substitution $u=e^x$
=>
$du=e^xdx$
=>
$dx=\frac{du}{e^x}$
=>
$dx=\frac{du}{u}$
=>
$I=\int\frac{du}{u(u^2+3u+2)}du$
$=\int\frac{du}{u(u+2)(u+1)}du$
2. decompose into partial fractions
$\frac{1}{u(u+2)(u+1)}$
$=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}$
where A=1/2, B=1/2, C=-1
$=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}$
3. Substitute partial fractions and continue
$I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}$
$=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}$
4. back-substitute u=e^x
$=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$
$=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$

Note: log(x) stands for natural log, and NOT log10(x)

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3 years ago

The period of a function is 4π.How many cycles of the function occur in a horizontal length of 12π?

WINSTONCH [101]

The answer is 3.
Hope this helps. :)

6 0

4 years ago

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PLEASE HELP!

Kaylis [27]

Let's go ahead and find the volume of a prism, then double the dimensions and see what happens to the volume. Then we can apply it to your volume.

volume of a prism with dimensions 2x2x2
v= 2x2x2 = 8 units^3

Now let's double it

volume of prism with dimensions 4x4x4
v= 4x4x4 = 64 units^3

So we see that by doubling the dimensions we multiply the volume by a factor of 8. Let's do that for your volume, 3.5 m^3

3.5 x 8 = 28 m^3

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3 years ago

Find x - y subtracted from 0.

Otrada [13]

Answer: wouldn’t that just be 0?

Step-by-step explanation:

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3 years ago

What is the area of a square with a radius of 9 cm

Nesterboy [21]

<span>the answer would be 254.34</span>

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3 years ago

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