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ZanzabumX [31]
2 years ago
11

Integrate this y=2x In(x²) at point x=3​

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
8 0

Answer:

Step-by-step explanation:

y=∫ln(x^2) (2x) dx

=ln (x^2) (x^2)-∫(2x/x^2) (x^2) dx+c

=x² ln (x²)-∫2x dx+c

=x²ln(x²)-x²+c

=x²[ln(x²)-1]+c

integration is between an interval so don't understand at x=3

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Solve equation of <br>5/2x=25/4​
Bingel [31]

Answer:

x = 5/2

Step-by-step explanation:

Solve for x:

(5 x)/2 = 25/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (5 x)/2 = 25/4 by 2/5:

(2×5 x)/(5×2) = 2/5×25/4

Hint: | Express 2/5×5/2 as a single fraction.

2/5×5/2 = (2×5)/(5×2):

(2×5)/(5×2) x = 2/5×25/4

Hint: | Express 2/5×25/4 as a single fraction.

2/5×25/4 = (2×25)/(5×4):

(2×5 x)/(5×2) = (2×25)/(5×4)

Hint: | Cancel common terms in the numerator and denominator of (2×5 x)/(5×2).

(2×5 x)/(5×2) = (5×2)/(5×2)×x = x:

x = (2×25)/(5×4)

Hint: | In (2×25)/(5×4), divide 25 in the numerator by 5 in the denominator.

25/5 = (5×5)/5 = 5:

x = (2×5)/4

Hint: | In (2×5)/4, divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

Answer:  x = 5/2

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