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marysya [2.9K]
3 years ago
7

Integral of sec (3x) tan (3x) dx

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0
\int {sec (3x)tan(3x)} \, dx= \int { \frac{1}{cos(3x)}* \frac{sin(3x)}{cos(3x)}  } \, dxSubstitution:u=cos(3x), du=-3sin(3x)dx, sin(3x)dx= du/-3 Integral becomes:\frac{-1}{3} *\int { \frac{1}{ u^{2} } } \, du= \frac{-1}{3} \int {u^{-2} } \, du=\frac{ u^{-1} }{3}= \frac{1}{3u}= \frac{1}{3cos(3x)}+C 
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tino4ka555 [31]

x = 9.

To get there, we can divide both sides by 8, to get from 8x to x.

8x / 8 = 72 / 8.

x = 9

4 0
3 years ago
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Select the correct answer.
Zarrin [17]

Answer:

B hope I helped.

Step-by-step explanation:

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AleksandrR [38]
To understand the differences between the three definitions of Acids and Bases
Identify acids, bases, and conjugate acid-base pairs according to the three definitions of Acids and Bases
To understand the concept of conjugate acid–base pairs in acid/base reactions
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How much simple interest does 2560 earn in 17 months at a rate of 1 1/8
Tatiana [17]

Answer:185.87

Step-by-step explanation:

Explanation:

simple interest (SI) can be calculated using the formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

S

I

=

P

R

T

100

2

2

∣

∣

∣

−−−−−−−−−−−−−−−

where P is the Principal, that is amount of money

R is the rate of interest

T is time in years

here P

=

$

2560

,

R

=

5

1

8

=

41

8

and T

=

17

12

years

⇒

S

I

=

2560

×

41

8

×

17

12

100

⇒

S

I

=

2560

×

41

×

17

100

×

8

×

12

⇒

S

I

≈

$

185.87

to nearest cent

4 0
3 years ago
How do you write -x+3y=6 in point-slope form?
klemol [59]
Point slope form is y-y1= m(x-x1)
So u need another x and y ull hav to guess with what u hav so like it could start as 2-1 or 3-0 but it’s ur choice
7 0
3 years ago
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