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Vinvika [58]
4 years ago
10

How would you integrate (2x-1)(6x+5)? is there a product rule for integration?

Mathematics
1 answer:
NikAS [45]4 years ago
4 0
No, there is not a product rule for integration.

To integrate (2x - 1)(6x + 5), start expanding the product:

(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.

Now, I guess you know how to integrate that:

∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx =  4x^3 + 2x^2 - 5x + C

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Pls help I need a good grade
zvonat [6]

Answer:

p=5

Step-by-step explanation:

28-13=3p

15=3p

p=5

6 0
3 years ago
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What is 243=m+108.27?
KATRIN_1 [288]

Answer:

134.73

Step-by-step explanation:

Solving for m:

243 = m + 108.27

243 - 108.27 = m + 108.27 - 108.27

134.73 = m

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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket
-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

                    l = 45 – r     Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96      Remove parentheses

 2r + 135 - 3r = 96      Combine like terms

         -r + 135 = 96      Subtract 135 from each side

                  -r = -39      Multiply each side by -1

                  r = 39      Substitute the value of r in Equation (1)

           39 + l = 45        Subtract 39 from each side

                   l = 6

===============

Check:

(1) 39 + 6 = 45

         45 = 45

(2) 2×39 + 3×6 = 96

           78 + 18 = 96

                   96 = 96


4 0
4 years ago
A boat traveled 240 miles downstream, then 240 miles back up stream. The trip downstream took 20 hours. The trip back up stream
MaRussiya [10]

Answer:

Step-by-step explanation:

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I think  the answer its 1.8 percent because if you subtract 15-13.2 comes out to be 1.8.

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3 years ago
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