please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
It will be ln / secx + tanx / + c​

Answers

Answer 1

Answer:

ln|sec(x) + tan(x)| + c

Step-by-step explanation:

∫sec(x) dx

secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))

let u = sinx

we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)

as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)

so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c


Related Questions

pls help asap MIDSEGMENTS

Answers

Answer:

RT and KS

Step-by-step explanation:

isosceles triangle

the decimal equivalent of 14/26

Answers

Step-by-step explanation:

14/26

Cancel numerator and denominator with 2 ,

7/13 = 0.5384

Answer:

0.538

Step-by-step explanation:

14/26 is basically 14 into 26

solve pls brainliest

Answers

The answer is 16 square meter
If you want a detailed solution
Tell me

-9y + 8(4z + 3y) -6x


PLZ HELP

Answers

Answer:

15y + 32z - 6x

Step-by-step explanation:

-9y + 8(4z + 3y) -6x

=> -9y + 32z + 24y - 6x

=> 15y + 32z - 6x

Hoped this helped.

Answer: 32z+15y-6x

Step by step:

-9y+8(4z+3y)-6x

-9y+32z+24y-6x

15y+32z-6x

32z+15y-6x

Suppose that a piano costs $6,000 and loses 15% of its value each year. The table below shows the value, v, of a piano after, t, years.
Part A: Write an equation to find the value of the piano, v, after t years.
Part B: What will be the value of the piano after 16 years? Round your answer to the nearest hundredth.

Answers

v(value)=6000-0.15t(years)

Part B would be $445.50

4.$3132.03

5$2662.23

6$2262.89

7$1923.46

8$1634.94

9$1389.70

10$1181.24

11$1004.05

12$853.45

13$725.43

14$616.61

15$524.12

16$445.50

Evaluate 36 = (x + 9) when x
=
3.
o
A. 3
B. 12
C. 4.
D. 21
SUB

Answers

Answer:

3

Step-by-step explanation:

36 ÷ (x + 9)

=> 36 ÷ (3 + 9)

=> 36 ÷ 12

=> 3

Therefore, 3 is the answer.

10. Which statement about this flgure is true?
A. it has reflectional symmetry.
B. It has no rotational symmetry.
C. It has rotational symmetry with an angle of rotation of 180 deg.
D. It has point symmetry.
HURRYYYY PLEASEEE​

Answers

C, it has a rotational symmetry with an angle of rotation of 180 def as it has a bend in the circle. Meaning it’s a rotational symmetry line.

radius of a circle with 11,304 circuference

Answers

Answer:

1799.08748

Rounded version: 1799

Step-by-step explanation:

Report me if its wrong mark me Brianliest if its right.


Find the slope of the line that passes through (10, 6) and (1,2)

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]

Professor Baird wants to mix a solution
containing 10% acid with one containing 15%
acid to obtain a 20-ounce solution containing
12% acid. How many ounces of the 10% solution
should the professor use?

Answers

Answer:

The answer is 12 ounces :)

Step-by-step explanation:

Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.

Answers

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

what is 10/13 as a decimal rounded to the nearest hundredth

Answers

Answer:

.770

Step-by-step explanation:

Select the correct domain of the function represented by the graph.

Answers

A is the correct answer.

(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1

Answers

Answer:

Angle 2 = 120 degrees, Angle 1 = 60 degrees

Step-by-step explanation:

Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.

x+x+60=180

2x+60=180

2x=120

x=60

Angle 1 = 60

Angle 2 = 60+60=120

Write an inequality that represents the following. Employees receive a bonus
of $80 plus $15 per hour, h, for working on New Year's Eve. If an employee
earned no more than $205.

Answers

So Is This (80+15) or something

Can you please help me

Answers

Answer:

11

Step-by-step explanation:

what is -18 1/2 plus 27 3/5?

Answers

Step-by-step explanation:

so if I did it wrong

Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)

Answers

That’s the answer to the question

help please super easy

Answers

Answer:

with what i dont see nothing

Step-by-step explanation:

XD

you were right this was super easy.

A seat for all games,events,concerts,and performances cost $900 there are 48 events in total but Alex only attended 14 how much did he pay.

Answers

Answer = $262.5

$900/ 48 = 18.75
$18.75 x 14 = 262.5

What can you multiply by to find:

50% of a number?
10% of a number?
75% of a number?

Answers

Answer:

1. 50% of a number

0.5

2. 10% of a number

0.1

3. 75% of a number

0.75

Step-by-step explanation:

this is because a percentage is the same as a decimal or a fraction

so 50% is 0.5 or 50/100

taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100

same with 10% and 75%

Answer 1-2 please. highlight and number the answers as well.​

Answers

Step-by-step explanation:

#1

Volume of aquarium:

V = 5.2*1.8*2 = 18.72 ft³

#2

Volume of cylinder:

V = π*5²*9 = 706.86 in³ (rounded to the nearest hundredths)


Calculate measures of central tendency and
dispersion for the following:

Find the mean, median, midrange, mode, range, standard deviation and Quartile graph

Data: 54, 92, 101, 83, 45, 102, 99,76, 79, 85, 90, 100,
98, 71, 65, 63, 90, 88, 70, 60, 90, 58,81

Answers

Answer:

The mean is 80, the median is 83, and the mode is 90

Step-by-step explanation:

If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?

Answers

Answer:

2:4 or simplify and get 1:2

Step-by-step explanation:

2 tsp. of oil every 4 cups of flour.

What is the greatest common factor of 15, 35, and 10?

Answers

Answer: The GCF of 10, 15, and 35 is 5.

Would appreciate brainliest <3

Answer:

5.

Step-by-step explanation:

First, we write them in prime factor form, then pick out the common factors.

15 = 3*5

35 = 5*7

10 = 2*5

So the GCF is 5.

I need the answers to all of them pleaseeee

Answers

Answer:

I think it is 43167 but am not really sure

Answer:

HOW DID YOU DO THAT? BECAUSE I CANT DO THAT 3 PIC

Marsha watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Marsha watch at night?

Answers

Answer: I think why the denominator changed because it subtracted one whole? That could be possible, so therefore she possibly watched 3/4 or 4/4 or 1 (1 whole) whatever way they word it
UwU

How to factor a polynomial with a degree of 4.

Answers

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

if anyone has mine.craft education edition, i just created a world and here the code

rail, llama, llama, cookie

:)))

Answers

Uh so like are llamas green

[tex]\sqrt{x} +1=3\\[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

√x + 1 = 3

√x = 3 - 1

√x = 2

(√x)² = (2)²

x = 4

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