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Katen [24]
2 years ago
9

Evaluate the integral x^3 (x 4 −8)^44 dx by making the substitution u = x^4 - 8

Mathematics
1 answer:
Eduardwww [97]2 years ago
5 0

Answer:

(x^4-8)^45 /180 +c

Step-by-step explanation:

If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.

If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.

Now we are ready to make substitutions into our integral.

Int(x^3 (x^4-8)^44 dx)

Int(((x^4-8)^44 x^3 dx)

Int(u^44 du/4)

1/4 Int(u^44 dul

1/4 × (u^45 / 45 )+c

Put back in terms of x:

1/4 × (x^4-8)^45/45 +c

We could multiply those fractions

(x^4-8)^45 /180 +c

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The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The rati
Ahat [919]

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

7 0
3 years ago
Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate
anyanavicka [17]

Answer:

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6 0
2 years ago
4k – 6 = -2k – 16 – 2 for k
Contact [7]
<span>4k – 6 = -2k – 16 – 2
</span>4k+2k =  – 16 – 2+6
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Hope this helps
5 0
3 years ago
Joe weights 20lbs .less than twice Jeff's weight. If Jeff would gain lbs,.then together they would weight 250lbs. how much does
Hoochie [10]
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6 0
3 years ago
A quadrilateral PQRS is inscribed in a circle, A quadrilateral PQRS is inscribed in a circle. The measure of angle PQR is 85 deg
sasho [114]

Answer:

Measure of arc PQR is 190°

Step-by-step explanation:

First have a sketch of the quadrilateral PQRS inside a circle

You should notice that the intercepted angle is ∠PSR

You should remember that the intercepted arc PQR is twice the intercepted angle ∠PSR

Find the intercepted angle ∠PSR

Remember that in a quadrilateral opposite angles add up to 180°

Hence;

∠PQR+∠PSR=180°

85 + ∠PSR=180°

∠PSR=180°-85°=95°

Find arc PQR

Arc PQR =2×∠PSR

Arc PQR=2×95°

=190°

3 0
3 years ago
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