help please!
integrate the following:
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
​

Answer:

i think its help..............

Answer:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration

[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]

in order to do so rewrite

[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]

we can also rewrite cos²(x) by using trigonometric indentity

[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]

to apply u-substitution we'll choose

[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]

thus substitute:

[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]

apply substraction integration and:

[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]

use constant integration rule:

[tex] \displaystyle u - \int {u}^{2} du[/tex]

use exponent integration rule:

[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]

back-substitute:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Select the function that matches the graph

21.
Find the range of f(x)=-2x-5 for the domain {-2,-1,1,2}.

A. {-1,-3,-7,-9}

B. {-1,-3,3,5}

C. {-1,-3,7,9}

D. {1, 3, 5, 7}

Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.​

Two sides of a triangle have lengths of 9
and 18. Which inequality represents the
possible length for the third side, x?
A. 9 < x < 18

B. 18 < X < 9

C. 9
D. 18 < X < 27

7g = -84 ; g = - 12 due in 10 min WHAT IS UP WITH THESE TIMED MATH TESTS T^T
yes or no psl hellpppp

1. What is the degree of the monomial 3x^4yz?

A 4
B 6
C 7
D 8

why life on Earth depends on matter

DUE TODAY! WILL
MARK BRAINLIEST
4. Find the measure of arc RT. Fill in the blank with the number only.
Assume that segments that appear to be tangent are tangent.

A container of water holds 128 fluid ounces. Tyler drinks 4 fluid ounces of water every hour.
_________________ fluid ounces are in the container after 8 hours
(look at picture for more understanding)

Write an expression using letters and/or numbers for each problem below.​​ NO BOTS 15 POINTS!
​Nithila has increased her $45 by m dollars and then spends one-third of the amount

Joaquin has d more than three times the number of baseball cards as Sam. Sam has f baseball cards.​

The perimeter of an equilateral triangle is 9 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle.​

HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT PLS DRAW IT FOR MEE :( EVEN IF ITS EDITED I WOULD APPRECIATE TYSM HAVE A GOOD DAY! (And if u don’t know 1 u don’t have to do both only one but pls try :(

LCM of 4, 12, -16, -24​

***NOTE YOU WOULD EARN 40 POINTS IF YOU ANSWER THIS QUESTION***

Ashin has been working in UAE for a decade and saved AED 125,500 which he wants to transfer now to his parent's account in India. Keeping in mind the AED – INR exchange rate for the day, which is AED 1 = 20 (approx.), find the amount of money which Arshad's parents will withdraw in India.

Jenniferhas 27 t shirts that she wants to place in her dawer in her new dresser she can fit 6 shirts in each drawer

PLEAS HELP (no links or reported) I will give brainleast!

What is the solution for x In the inequality -3x+4<16

Thanks to both of the people that’s helping mee!!❤️

Consider the function f(x) =
- 4x2xs-1
-3-*-1, *> -1
Which statement explains the continuity of the function at x = -1?
Because lim f(x) = 4 and f(-1) = 4, it follows that lim f(x) = f(-1). Therefore, the function is continuous at x
1.
*--1
*--1
O Because lim f(x) = -4 and f(-1) = -4, it follows that lim f(x)=f(-1). Therefore, the function is continuous at
-1.
*--
X-1
--
O Because lim f(x) = 4 and f(-1) = -4, it follows that lim f(x) f(-1). Therefore, the function is not continuous
*--1
= -1.
O Because lim f(x) = -4 and f(-1) = 4, it follows that lim f(x) f(-1). Therefore, the function is not continuous a
= -1.
--
--1

help please this is hard

Michael completely covered a square wall using 101.5ft2 of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?

What is the shape for the data: 1, 4, 2, 5, 2, 4, 3?
A. Skewed to the left
B. Skewed to the right
C. Vertical shape
D. Symmetrical

Simplify (2-6)(5)(23 . 5)2.

What’s the ratio of the volume?
20:4
4:1
16:1
64:1

When the x coordinate is positive, which way do you move on the coordinate plane?

Please help due today in 20 minutes!!!!
I WILL report bots.
I need help on all the questions please.
Will mark brainliest if all questions answered.
Please help me!!!!!

Can someone please help me with this!

Find an equation of the line passing through the point ( - 12,
5) and perpendicular to - 12x – 3y = 12.
1]
1]
Write your answer in slope-intercept form.

ACELLUS HELP ASAP
a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Enter