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Popular >

integral of [ln(q)]

Solution

\int [ln (q)] d q

Solution

q ln (q) - q + C

Solution steps

\int ln (q) d q

Apply Integration By Parts

: q ln (q) - \int 1 d q

= q ln (q) - \int 1 d q

\int 1 d q = q

= q ln (q) - q

Add a constant to the solution

= q ln (q) - q + C

Popular Examples

integral of sin^3(x/3)cos^3(x/3)

\int sin^{3} (\frac{x}{3}) cos^{3} (\frac{x}{3}) d x

integral of (x^2ln(1+x^3))/(1+x^3)

\int \frac{x ^{2} ln ( 1 + x ^{3} )}{1 + x ^{3}} d x

integral of (e^{tan(2x)})/(cos^2(2x))

\int \frac{e ^{t a n (2 x)}}{cos ^{2} ( 2 x )} d x

integral of ((5x^2+10x-30))/((x^2+x-6))

\int \frac{( 5 x ^{2} + 10 x - 30 )}{( x ^{2} + x - 6 )} d x

integral of 16tan^{15}(x)sec^2(x)

\int 16 tan^{15} (x) sec^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of [ln(q)] ?
The integral of [ln(q)] is qln(q)-q+C