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NemiM [27]
3 years ago
10

Integral of ln times cube root x dx

Mathematics
1 answer:
zvonat [6]3 years ago
3 0
If u = ln(x^(1/3))
then by the chain rule
du = [1/x^(1/3)] * (1/3)x^(-2/3) dx = (1/3)(1/x) dx. 
You could get there faster by noting that
 ln(x^(1/3)) = (1/3) ln(x), so du = (1/3) dx/x
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Answer:

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Graph by using the slope and the y intercept.
Mashutka [201]

1. a) equation of the line :

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y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

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so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

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here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

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so, the given line passes through point (1 , 2)

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