<span> ∫ [ln(√t) / t] dx
let √t = u
t= u² → dx = 2u du
substitute in the integral
∫ [ln(√t) / t] dx = ∫ (ln u / u²) 2u du = ∫ (ln u / u²) 2u du = 2 ∫ (ln u / u) du
let ln u = x → d (ln u) = dx→ (1/u)du = dx
substituting again
2 ∫ (ln u / u) du = 2 ∫ x dx= 2 x²/ 2 = x² + c which,
substituting ln² u + c
as of the first
substitution ln²(√t) + c
it concludes that
∫ [ln(√t) / t] dx = ln²(√t) + c
hope it helps
</span>
P(landing open side up)= 1/50
P(landing closed side up)=5/50=1/10
P(landing on its side)= 44/50=22/25
Answer:
y = 3x - 5
Step-by-step explanation:
The equation of a line parallel to y=3x+6 has exactly the same form but a different constant on the right: y=3x+C
To find C, take the coordinates of the given point and substitute them into y=3x+C:
7 = 3(4) + C, or
7 = 12 + C, and so C = -5
The desired equation is y = 3x - 5
A/B - 90° | C - 42° | D - 48 | E - 132
Answer:
root of 256 is 16.....so the value of X is 16