Answer:
The integral is equal to 
for an arbitrary constant C.
Step-by-step explanation:
a) If 
then 
so the integral becomes 
. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case 
hence 
. We rewrite the integral as 
.
c) We use the trigonometric identity 
is part b). The value of the integral is 
. which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.
Take 0.5x4x3=6 So the answer is 6.
Answer:
8 home games and 10 away games
Step-by-step explanation:
Total home goals
= 8 +5 +9 +8 = 30
Number of home games
= 30/3.75 = 8
Total away game goals
= 7 + 8 + 4 + 5 = 24
Number of away games
= 24/2.4 = 10
Easy Peasy :) Hope this helped! <3 brainliest please :)
Answer:
59.4 km
Step-by-step explanation:
First you need to find the circumference of the circle. 20*3.14=62.8. Then, you divide this by two, because there is only half of a circle, to get 31.4.
Then you can just add 16 + 12 + 31.4 to get 59.4.
Answer:
Her eye discourses; I will answer it.
I am too bold; ’tis not to me she speaks:
Two of the fairest stars in all the heaven,
Having some business, do entreat her eyes
To twinkle in their spheres till they return.
Step-by-step explanation:
