What is the integral of (5e^{-3+ln(3x)})/x ?

The integral of (5e^{-3+ln(3x)})/x is (15)/(e^3)x+C

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integral of (5e^{-3+ln(3x)})/x

\int \frac{5 e ^{- 3 + l n (3 x)}}{x} d x

\frac{15}{e ^{3}} x + C

Solution steps

\int \frac{5 e ^{- 3 + l n (3 x)}}{x} d x

\frac{5 e ^{- 3 + l n (3 x)}}{x} = \frac{15}{e ^{3}}

= \int \frac{15}{e ^{3}} d x

Integral of a constant:

\int a d x = a x

= \frac{15}{e ^{3}} x

Add a constant to the solution

= \frac{15}{e ^{3}} x + C

\int x (1 - x^{2})^{- \frac{1}{2}} d x

\int \frac{x ^{2} + 2}{x ^{3} + x} d x

\int \frac{6}{x ^{3} + 4 x ^{2} + 6 x} d x

\int 18 x^{2} 4 6 x^{3} + 5 d x

\int \frac{1}{x ^{2} + \frac{1}{4}} d x

What is the integral of (5e^{-3+ln(3x)})/x ?
The integral of (5e^{-3+ln(3x)})/x is (15)/(e^3)x+C