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Popular >

integral of ln(x)+2

Solution

\int ln (x) + 2 d x

Solution

x ln (x) + x + C

Solution steps

\int ln (x) + 2 d x

Apply Integration By Parts

: x (ln (x) + 2) - \int 1 d x

= x (ln (x) + 2) - \int 1 d x

\int 1 d x = x

= x (ln (x) + 2) - x

Simplify

x (ln (x) + 2) - x : x ln (x) + x

= x ln (x) + x

Add a constant to the solution

= x ln (x) + x + C

Graph

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\int_{- 2}^{6} (2 - ∣ x ∣) d x

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\frac{d}{d x} (cot^{2} (2 x))

sum from n=1 to infinity of (23)/(2n)

n = 1 \sum \infty \frac{23}{2 n}

Frequently Asked Questions (FAQ)

What is the integral of ln(x)+2 ?
The integral of ln(x)+2 is xln(x)+x+C