Answer:
5x≥-21
Step-by-step explanation:
Answer:
wall
Step-by-step explanation:
wall store mart greens pole meal mcdonalds
Answer: Yes
Step-by-step explanation:
You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.
1 + {[(1 * 0.5) x 12] x 3}
1 + {[0.5 x 12] x 3}
1 + {6 x 3}
1 + 18
19
I'm not sure if that's a 1.000 or 1,000 so:
1,000 + {[(1,000 * .5) x 12] x 3}
1,000 + {[500 x 12] x 3}
1,000 + {6,000 x 3}
1,000 + 18,000
19,000
Answer:
![\text{ln}(5x)(4x^2+10x)-2x^{2}-10x+C](https://tex.z-dn.net/?f=%5Ctext%7Bln%7D%285x%29%284x%5E2%2B10x%29-2x%5E%7B2%7D-10x%2BC)
Step-by-step explanation:
We have been given an definite integral
. We are asked to find the integral using integration by parts.
We will use Integration by parts formula to solve our given problem.
![\int\ vdv=uv-\int\ vdu](https://tex.z-dn.net/?f=%5Cint%5C%20vdv%3Duv-%5Cint%5C%20vdu)
Let
and
.
Now, we need to find du and v using these values as shown below:
Using chain rule, we will get:
![v'=8x+10](https://tex.z-dn.net/?f=v%27%3D8x%2B10)
![v=\frac{8x^{1+1}}{2}+10x](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B8x%5E%7B1%2B1%7D%7D%7B2%7D%2B10x)
![v=\frac{8x^{2}}{2}+10x](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B8x%5E%7B2%7D%7D%7B2%7D%2B10x)
![v=4x^{2}+10x](https://tex.z-dn.net/?f=v%3D4x%5E%7B2%7D%2B10x)
Upon substituting these values in integration by parts formula, we will get:
![\int\left(8x+10\right)\:\text{ln}\:\left(5x\right)\:dx=\text{ln}(5x)(4x^2+10x)-\int\ (4x^2+10x)\frac{1}{x}dx](https://tex.z-dn.net/?f=%5Cint%5Cleft%288x%2B10%5Cright%29%5C%3A%5Ctext%7Bln%7D%5C%3A%5Cleft%285x%5Cright%29%5C%3Adx%3D%5Ctext%7Bln%7D%285x%29%284x%5E2%2B10x%29-%5Cint%5C%20%284x%5E2%2B10x%29%5Cfrac%7B1%7D%7Bx%7Ddx)
![\int\left(8x+10\right)\:\text{ln}\:\left(5x\right)\:dx=\text{ln}(5x)(4x^2+10x)-\int\ \frac{4x^2}{x}+\frac{10x}{x}dx](https://tex.z-dn.net/?f=%5Cint%5Cleft%288x%2B10%5Cright%29%5C%3A%5Ctext%7Bln%7D%5C%3A%5Cleft%285x%5Cright%29%5C%3Adx%3D%5Ctext%7Bln%7D%285x%29%284x%5E2%2B10x%29-%5Cint%5C%20%5Cfrac%7B4x%5E2%7D%7Bx%7D%2B%5Cfrac%7B10x%7D%7Bx%7Ddx)
![\int\left(8x+10\right)\:\text{ln}\:\left(5x\right)\:dx=\text{ln}(5x)(4x^2+10x)-\int 4x+10dx](https://tex.z-dn.net/?f=%5Cint%5Cleft%288x%2B10%5Cright%29%5C%3A%5Ctext%7Bln%7D%5C%3A%5Cleft%285x%5Cright%29%5C%3Adx%3D%5Ctext%7Bln%7D%285x%29%284x%5E2%2B10x%29-%5Cint%204x%2B10dx)
![\int\left(8x+10\right)\:\text{ln}\:\left(5x\right)\:dx=\text{ln}(5x)(4x^2+10x)-(\frac{4x^{2}}{2}+10x)+C](https://tex.z-dn.net/?f=%5Cint%5Cleft%288x%2B10%5Cright%29%5C%3A%5Ctext%7Bln%7D%5C%3A%5Cleft%285x%5Cright%29%5C%3Adx%3D%5Ctext%7Bln%7D%285x%29%284x%5E2%2B10x%29-%28%5Cfrac%7B4x%5E%7B2%7D%7D%7B2%7D%2B10x%29%2BC)
![\int\left(8x+10\right)\:\text{ln}\:\left(5x\right)\:dx=\text{ln}(5x)(4x^2+10x)-2x^{2}-10x+C](https://tex.z-dn.net/?f=%5Cint%5Cleft%288x%2B10%5Cright%29%5C%3A%5Ctext%7Bln%7D%5C%3A%5Cleft%285x%5Cright%29%5C%3Adx%3D%5Ctext%7Bln%7D%285x%29%284x%5E2%2B10x%29-2x%5E%7B2%7D-10x%2BC)
Therefore, our required integral would be
.