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Alecsey [184]
3 years ago
13

Diverges help needed please.

Mathematics
1 answer:
lesya692 [45]3 years ago
5 0
Ask so you can get some help
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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
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