What is the integral of 50x^4ln(x) ?

The integral of 50x^4ln(x) is 50(1/5 x^5ln(x)-(x^5)/(25))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 50x^4ln(x)

\int 50 x^{4} ln (x) d x

50 (\frac{1}{5} x^{5} ln (x) - \frac{x ^{5}}{25}) + C

Solution steps

\int 50 x^{4} ln (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 50 \cdot \int x^{4} ln (x) d x

Apply Integration By Parts

: \frac{1}{5} x^{5} ln (x) - \int \frac{x ^{4}}{5} d x

= 50 (\frac{1}{5} x^{5} ln (x) - \int \frac{x ^{4}}{5} d x)

\int \frac{x ^{4}}{5} d x = \frac{x ^{5}}{25}

= 50 (\frac{1}{5} x^{5} ln (x) - \frac{x ^{5}}{25})

Add a constant to the solution

= 50 (\frac{1}{5} x^{5} ln (x) - \frac{x ^{5}}{25}) + C

\int \frac{3}{4} sec (v) tan (v) d v

\int e^{- (1 + i w) t} d t

\int (t + \frac{1}{t})^{2} d t

\int (- 4) d x

\int \frac{2}{π csc ( x ) - π sin ( x )} d x

What is the integral of 50x^4ln(x) ?
The integral of 50x^4ln(x) is 50(1/5 x^5ln(x)-(x^5)/(25))+C