1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serggg [28]
3 years ago
9

ANYONE IN CALCULUS please help, where does the fraction in the integral even come from? I've tried to wrap my head around it but

it doesnt even make sense nor when i look up on google ( where does fraction behind integral sign come from) get no results\. Please define where 1/3 is derived from:
{INTEGRAL SIGN} x^2*e^x^3 = 1/3 {INTEGRAL SIGN} e^x^3*(3x^2) dx = 1/3*e^x^3 + c
Mathematics
1 answer:
navik [9.2K]3 years ago
8 0

Answer:

Step-by-step explanation:

You know that the derivative of e^u is e^u·du.

When u = x^3, du = 3x^2·dx. This means x^2·dx = (1/3)·du.

So your integral is ...

\displaystyle\int{x^2\cdot e^{x^3}}\,dx=\int{\frac{1}{3}du\cdot e^u}=\frac{1}{3}\int{e^u}\,du

You might be interested in
PLEASE HELPPPP I DONT KNOW HOW TO DO THIS
KonstantinChe [14]

Answer:

I'm not an expert here, this is a best guess!

But I would say if there is no chance that of him incurring excess costs of less than $500, then he knows without insurance he'll end up paying at least $500, possibly more out of pocket, without the insurance.

so I would say He ends up spending the least amount out if pocket by going with option A. for $75. that's $75 out of pocket with no deductible and it covers his $500+ in excess costs....B and C would also cover the excess, but would each cost $140 or $275 out of pocket at the end of the day....

with that being said, I'd say it's worth it to buy the insurance....even if he doesn't have any excess costs, he's spent $75 dollars for the peace of mind to know he's covered either way, and if he does incur the excess costs he's spent $75 rather that $500+....Even if the excess charges are only $100, which it says there is no chance of happening, but still, then he's still saved $25 altogether. Unless I'm reading it wrong, Option A saves him the most money either way, and is worth it to buy the insurance!

3 0
3 years ago
A) -3 · x = -21<br><br> b) -7x + 16 = 2x - 20
scoundrel [369]

Answer:7

Step-by-step explanation:

A) x= -21/-3

= 7 answer

7 0
3 years ago
Read 2 more answers
When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 56 b
nydimaria [60]

Answer:

98.1% chance of being accepted

Step-by-step explanation:

Given:

sample size,n=56

acceptance condition= at most 2 batteries do not meet specifications

shipment size=7000

battery percentage in shipment that do not meet specification= 1%

Applying binomial distribution

<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>

In this formula, a is the acceptable number of defectives;

 n is the sample size; 

p is the fraction of defectives in the population.  

Now putting the value

a= 2

n=56

p=0.01

\frac{56!}{0!\left(56-0\right)!}\left(0.01\right)^0\:\left(1-0.01\right)^{\left(56-0\right)} + \frac{56!}{1!\left(56-1\right)!}\left(0.01\right)^1\:\left(1-0.01\right)^{\left(56-1\right)} +\:\frac{56!}{2!\left(56-2\right)!}\left(0.01\right)^2\:\left(1-0.01\right)^{\left(56-2\right)}

=0.56960+0.32219+0.08949

After summation, we get 0.981 i.e. a 98.1% chance of being accepted.  As this is such a high chance, we can expect many of the shipments like this to be accepted!

7 0
3 years ago
Solve equation 1/4=x^-1/2
Alex

Answer:

A. {16}

Step-by-step explanation:

1/4 = x^-1/2

We have the exponent rule a^-1 = 1/a^1

Applying the rule, we get

1/4 = 1/x^1/2

x^1/2 = √x

1/4 = 1/√x

Now let's cross multiplying, we get

√x  = 4

Taking square on both sides, we get

x = 16

The answer: A. {16}

Hope this will helpful.

Thank you.

3 0
3 years ago
Read 2 more answers
Whats carible usually shown on y axis
love history [14]
Independent variable 
3 0
4 years ago
Other questions:
  • Find the charge on the capacitor in an LRC-series circuit at t = 0.05 s when L = 0.05 h, R = 4 ?, C = 0.008 f, E(t) = 0 V, q(0)
    11·1 answer
  • Helppppp what is 5x 89
    10·1 answer
  • Determine the domain and range of the graphed function
    13·1 answer
  • (Help fast plz)Which of these tables represents a linear function
    8·1 answer
  • PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( ! <br> ILL GIVE 40 POINTS .
    7·2 answers
  • Mr. Herrera has 4 cups of raisins to serve to his students as a snack. How many 19 of a cup of servings can Mr. Herrera make?
    7·1 answer
  • 6a-2z<br> Please help me
    12·2 answers
  • There are 100 students in 7th grade. Of those students 43 of them are in the band. What percentage of the students are in the ba
    8·1 answer
  • Kala invested $8000 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment w
    6·2 answers
  • Pete's Convenience Store has a beginning inventory of 12 cans of soup at a cost of $.85 each. During the year, the store purchas
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!