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marissa [1.9K]
2 years ago
6

Use integration by parts to find the integrals in Exercise. ∫(4x-12)e-8x dx.

Mathematics
1 answer:
stepladder [879]2 years ago
5 0

Answer:

e(2x^{2} -12x)-4x^{2}+C

Step-by-step explanation:

We have been given an indefinite integral as \int \left(4x-12\right)e-8x\:dx. We are asked to find the given integral.

Let us solve our given problem.

\int \left(4x-12\right)e\:dx-\int 8x\:dx

Take out constant:

e\int \left(4x-12\right)\:dx-8\int x\:dx

e(\int 4x\:dx -\int 12\right\:dx)-8\int x\:dx

e(\frac{4x^{1+1}}{2} -12x)-8*\frac{x^{1+1}}{1+1}+C

e(\frac{4x^{2}}{2} -12x)-8*\frac{x^{2}}{2}+C

e(2x^{2} -12x)-4x^{2}+C

Therefore, our required integral would be e(2x^{2} -12x)-4x^{2}+C.

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The product of two fractions is 2/3. One fraction is 3/5. what is the other fraction
Lady bird [3.3K]

Answer:

10 / 9

Step-by-step explanation:

Let's suppose the other fraction is x. We are given 3 / 5 * x = 2 / 3

We can divide by 3 / 5 on both sides, which is the same as multiplying 5 / 3 on both sides:

5 / 3 * 3 / 5 * x = 2 / 3 * 5 / 3

This simplifies to:

x = 10 / 9

3 0
3 years ago
R=4+7x-sx <br> I need help so any one can help with this
chubhunter [2.5K]
What do you need to solve for?

X=r-4/7-s

S=-r/x+4/x+7

R=-sx+7x+4
8 0
2 years ago
I need help! Help me
ddd [48]

24.5 cL

base unit: liters

prefix: centi

measured: volume

1.2 x 10^5 kg

base unit: grams

prefix: kilo

measured: mass

125.3 mm

base unit: meters

prefix: milli

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7 0
2 years ago
HELP HELP HELP HELP HELP HELP PLZZ<br> SOMEONE
velikii [3]

Answer:

B.) 4.18 square inches

Step-by-step explanation:

Find the area of the one right triangle and multiply it by two. The formula for the area of a triangle is:

A=\frac{1}{2} bh

Insert the values. 1.1 is the base and 3.8 is the height:

A=\frac{1}{2} *1.1*3.8

Simplify:

A=\frac{1*1.1*3.8}{2} \\\\A=\frac{4.18}{2} \\\\A=2.09

Multiply the area of one triangle by two:

2.09*2=4.18\\\\A=4.18

The total area of the shaded figures is 4.18 in^2

:Done

8 0
2 years ago
Find the solution of the system of equations. <br> 3x+3y= −6<br> 10x+3y= −13
Fittoniya [83]

Answer:

x=−1, y=−1

Step-by-step explanation:

Solve for x in the first equation.

x=−2−y

10x+3y=−13

Replace all occurrences of x with −2−y in each equation.

−20−7y=−13

x=−2−y

Solve for y in the first equation.

y=−1

x=−2−y

Replace all occurrences of y with −1 in each equation.

x=−1, y=−1

6 0
3 years ago
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