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2 years ago

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Mathematics

1 answer:

Ivenika [448]2 years ago

7 0

Answer:

i have the same question

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Integrate dx/sin3xtan3x

disa [49]

$\displaystyle\int\frac{\mathrm dx}{\sin3x\tan3x}=\int\frac{\cos3x}{\sin^23x}$

Set $u=\sin3x$ , so that $\mathrm du=3\cos3x\,\mathrm dx$ . Then the integral is

$\displaystyle\frac13\int\frac{\mathrm du}{u^2}=-\frac1{3u}+C=-\frac1{3\sin3x}+C=-\frac13\csc3x+C$

Or, if you meant exponents in place of coefficients,

$\displaystyle\int\frac{\mathrm dx}{\sin^3x\tan^3x}=\int\csc^3x\cot^3x\,\mathrm dx=\int\csc^2x\cot^2x\csc x\cot x\,\mathrm dx$

Let $u=\csc x$ , so that $\mathrm du=-\csc x\cot x\,\mathrm dx$ , and use the fact that $\csc^2x=\cot^2x+1$ to get

$\displaystyle-\int u^2(u^2-1)\,\mathrm du=\int (u^2-u^4)\,\mathrm du=\frac13u^3-\frac15u^5+C$
$=\dfrac13\csc^3x-\dfrac15\csc^5x+C$

8 0

3 years ago

eight friends share 64 tickets to the carnival. each friend has the same number of tickets. how many tickets does each friend ha

jeka94

Answer:

8 Tickets

Step-by-step explanation:

64/8 = 8 tickets

---------------------------

check work:

8*8 = 64

3 0

2 years ago

What is the value of sin(F)? 1 point 4/3 3/5 4/5 3/4

vichka [17]

Answer:

the value of sin(F) is 3/5

8 0

3 years ago

Hi could you please tell me the answer to this?

devlian [24]

Answer:

Step-by-step explanation:

4 0

3 years ago

given that the ratio of boys to girls in a choir group is 17:23, what is the relative frequency of the number of boys?

marusya05 [52]

Answer:

50 Students

You can find the number of boys and girls by dividing the total, so there are a total of 20 boys and 30 girls in the choir of 50. The ratio 2 boys : 3 girls means we can divide the chorus into groups.

5 0

3 years ago