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]

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

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

A 4
B 6
C 7
D 8

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

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.​

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)

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}

why life on Earth depends on matter

Can someone please help me with this!

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

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

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.

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?

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

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

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

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.​

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!!!!!

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.

LCM of 4, 12, -16, -24​

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

Select the function that matches the graph

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 :(

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

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

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

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

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

help please this is hard

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