Evaluate: $\int_{2}^{5} (ln x)dx$

5 l n 5 - 2 l n 2 - 3

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5 l n 5 + 2 l n 2 - 3

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5 l n 5 - 2 l n 2 - 7

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5 l n 5 - 2 l n 2 + 3

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Solution

The correct option is A $5 l n 5 - 2 l n 2 - 3$
$\int_{2}^{5} (ln x)dx = (x ln x - x) |_{2}^{5} = (5 ln 5 - 5) - (2 ln 2 -2) = 5 ln 5 - 2 ln 2 - 3$

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Evaluate: ∫52(ln x)dx

The correct option is A 5 ln 5−2 ln 2−3∫52(ln x)dx=(x ln x - x)|52=(5 ln 5 - 5) - (2 ln 2 -2)=5 ln 5 - 2 ln 2 - 3

Evaluate: $\int_{2}^{5} (ln x)dx$

The correct option is A $5 l n 5 - 2 l n 2 - 3$
$\int_{2}^{5} (ln x)dx = (x ln x - x) |_{2}^{5} = (5 ln 5 - 5) - (2 ln 2 -2) = 5 ln 5 - 2 ln 2 - 3$