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mote1985 [20]
3 years ago
15

Simplify the radical (180°.

Mathematics
1 answer:
statuscvo [17]3 years ago
6 0

Answer:

radical is sqrt we find 180 sqrt root

Step-by-step explanation:

first we write sqrt 180

sqrt 180 = ?

we can choose first two letters

18 are two letters

4^2 + 2 = 18

so first + third number choose

4 , 2 are number choose

4 + 2 sqrt (4+2-1)

6 sqrt 5

sqrt 180 = 6sqrt 5

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Answer:

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Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\  dx

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\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I =  \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C }}}}}

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