Integrate indefinite integral:

Solution:
1. use substitution
=>

=>

=>

=>


2. decompose into partial fractions


where A=1/2, B=1/2, C=-1

3. Substitute partial fractions and continue


4. back-substitute u=e^x


Note: log(x) stands for natural log, and NOT log10(x)
Answer:
0,8
Step-by-step explanation:
(-x-2)(x-4)=y
To find the x-intercept, substitute in 0 for y and solve for x. To find y-intercept, substitiue in 0 for x and solve for y.
(-0-2)(0-4)=y
(-2)(-4)=8
y=8
0,8
Answer:
4/15
Step-by-step explanation:
Add up the unshaded part
1/3 +2/5
Get a common denominator
1/3 *5/5 + 2/5 *3/3
5/15 + 6/15
11/15
Subtract this from 1 for the entire circle
15/15 -11/15
4/15
4/15 is shaded
Answer:
Diameter= 6.15
Step-by-step explanation:
Like the radius explanation but multiply the answer by 2.