5-16 find the general indefinite integral.

1 answer:

6 0

$\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill$

You might be interested in

A bag contains 12 pieces of candy, all the same size. Four of the candies are lemon flavored. Which approach would be best to fi

igor_vitrenko [27]

Answer: Relative frequency approach

Step-by-step explanation:

In relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted in the given event.

That is if there are total 9 boys in which 4 are from Us.

Then the probability of choosing a boy of Us= Number of boys from US/ total number of boys= 4/9

In our question, we have total pieces of candy= 12

In which lemon-flavored piece of candy = 4

the probability of randomly drawing a lemon-flavored piece of candy= 4/12

= lemon-flavored piece of candy/ total pieces of candy

Thus, we are using relative frequency approach for finding the probability.

Therefore, Option C is correct.

3 0

3 years ago

Read 2 more answers

X^2+10x-y+15=0 what is the vertex of this parabola?

LuckyWell [14K]

$\displaystyle\bf\\x^2+10x-y+15=0\\\\y=x^2+10x+15\\\\\Delta=b^2-4ac=10^2-4\cdot15=100-60=\boxed{\bf40}\\\\Vertex~is~~V\Big(x=\frac{-b}{2a};~~y=\frac{-\Delta}{4a} \Big)\\\\\\V_x=\frac{-b}{2a}=\frac{-10}{2}=\boxed{\bf-5}\\\\\\V_y=\frac{-\Delta}{4a}=\frac{-40}{4}=\boxed{\bf-10}\\\\\\\implies~\boxed{\boxed{\bf~V\Big(-5;~-10\Big)}}$

5 0

3 years ago

I need help which triangle theorem do I use for these

irina [24]

Answer:

Step-by-step explanation: B. SSS because it shows us three sides ,C.RHS because it has a right angle, d. AAS because it shows us two sides and a non included side, e. RHS because it has a right angle, f. AAS because it has two angles and non included side.

4 0

3 years ago

EASY Questions:. 4*4 and 12*5

ArbitrLikvidat [17]

4•4=16
12•5=60. That’s the answer

6 0

3 years ago

Read 2 more answers

Steve has overdrawn his checking account by $27. His bank charged him $15 for an overdraft fee. Then he quickly deposited $100.

sp2606 [1]

So... that's.... U-27... which apparently is negative 15.... so now all I have to do is subtract 15 from 100.... so.... Steve's current balance is now $85.
lol as soon as I typed "Steve", I thought of Markiplier's pet named Steve

3 0

3 years ago