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





Answer:
55.5 u^2
Step-by-step explanation:
Split the quadrilateral into 2 triangles. There are two ways to do this, but I'm only doing one of them.
On the 5-11 triangle, use the two of the lengths and plug them into the triangle area formula. (L x W)/2 = A
5-11 triangle area: 27.5
Do the same for the 7-8 triangle. Plug it into the same formula.
7-8 triangle area: 28
Add the two areas. 27.5 + 28 = 55.5
Answer:
D. 8
Step-by-step explanation:
The given diagram is a trapezium. We know that the consective sides of a trapezium are equal. so,
Putting the values of consecutive sides equal:
So, KI will be equal to LI
3x-7 = x+3

Putting the value of x in the equation of KI
3x-7
=3(5)-7
=15-7
=8
Hence, the correct answer is D. 8 ..