I don't speak Romanian, but the closest translation for this suggests you're trying to compute

Integrate by parts:

where
u = ln(x)² ⇒ du = 2 ln(x)/x dx
dv = x³ dx ⇒ v = 1/4 x⁴

Integrate by parts again:

where
u' = ln(x) ⇒ du' = dx/x
dv' = x³ dx ⇒ v' = 1/4 x⁴

So, we have





Volume formula of a sphere:


r³
given:
r = 3
V =


(3)³
V =

× 27

V = 36

units³ (in terms of

)
V = 113.097 units³ ≈ 113.1 units³
Answer:
15
*ignore this answers have to be a minimum of 20 characters.
Answer:
(x − 1)² + (y + 1)² = 18
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
The center is (1, -1), so plugging that in:
(x − 1)² + (y + 1)² = r²
A point on the circle is (4, 2), so plugging that in:
(4 − 1)² + (2 + 1)² = r²
18 = r²
Therefore, the equation is:
(x − 1)² + (y + 1)² = 18