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Popular >

integral of ln|x|*1

Solution

\int ln ∣ x ∣ \cdot 1 d x

Solution

x ln ∣ x ∣ - x + C

Solution steps

\int ln ∣ x ∣ \cdot 1 d x

Simplify

= \int ln ∣ x ∣ d x

Apply Integration By Parts

: x ln ∣ x ∣ - \int 1 d x

= x ln ∣ x ∣ - \int 1 d x

\int 1 d x = x

= x ln ∣ x ∣ - x

Add a constant to the solution

= x ln ∣ x ∣ - x + C

Popular Examples

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\int sin (10 x) sin (15 x) d x

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\frac{d}{d x} (\frac{ln ( x )}{x ^{11}})

partialfraction (x^3)/(x^2-1)partial fractions

\frac{x ^{3}}{x ^{2} - 1}

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k = 1 \sum \infty 0. 5^{k}

integral of 1/4096 cos(8x)

\int \frac{1}{4096} cos (8 x) d x

Frequently Asked Questions (FAQ)

What is the integral of ln|x|*1 ?
The integral of ln|x|*1 is xln|x|-x+C