3 years ago

Diverges help needed please.

Mathematics

1 answer:

lesya692 [45]3 years ago

5 0

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Evaluate the following integrals: 1. Z x 4 ln x dx 2. Z arcsin y dy 3. Z e −θ cos(3θ) dθ 4. Z 1 0 x 3 √ 4 + x 2 dx 5. Z π/8 0 co

Zigmanuir [339]

Answer:

The integrals was calculated.

Step-by-step explanation:

We calculate integrals, and we get:

1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}

2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}

3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}

4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}

5) \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=

=\frac{3π+8}{64}

6) ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x

7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}

8) ∫ tan^5 (x) sec(x) dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x

6 0

3 years ago

What is the radius of a hemisphere with a volume of 19160 ft', to the nearest tenth<br> of a foot?

irina1246 [14]

I think the answer is 20.9

6 0

3 years ago

I need help with number 20 please

Doss [256]

Answer:

3 = 92 degree 4 = 88 degree

Step-by-step explanation:

3 = 45 + 47 = 92 degree

4 = 180 - 92 = 88 degree

5 0

2 years ago

Read 2 more answers

A group of 6p people are renting a vacation house together the price of the rental is 3p to the 2nd power if they split the cost

Tanya [424]

So we just do
cost/number of people=cost per 1 person
so
(6p)/(3p^2)
remember that you can split it up and make ones
$\frac{6p}{3p^{2}}$ = $\frac{6}{3p}$ times $\frac{p}{p}$ = $\frac{2}{1p}$ times $\frac{p}{p}$ times $\frac{3}{3}$ = $\frac{2}{1p}$ times 1 times 1=2/p

easy way is
remember that
(x^m)/(x^n)=x^(m-n)
so
(6p)(3p^2)=6/(3p=2/p=2p^-1

each member pays 2/p

4 0

3 years ago

There were 90 days in the first semester of Margaret’s school year. If she brought her lunch to school 30% of the time, how many

Natasha2012 [34]

Answer:

27 days

Step-by-step explanation:

7 0

2 years ago