What is the integral of x0.3^x ?

The integral of x0.3^x is -0.83058…*0.3^xx-0.68986…*0.3^x+C

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integral of x0.3^x

\int x 0. 3^{x} d x

- 0.83058 \dots \cdot 0. 3^{x} x - 0.68986 \dots \cdot 0. 3^{x} + C

Solution steps

\int x \cdot 0. 3^{x} d x

Apply Integration By Parts

: - 0.83058 \dots \cdot 0. 3^{x} x - \int - 0.83058 \dots \cdot 0. 3^{x} d x

= - 0.83058 \dots \cdot 0. 3^{x} x - \int - 0.83058 \dots \cdot 0. 3^{x} d x

\int - 0.83058 \dots \cdot 0. 3^{x} d x = 0.68986 \dots \cdot 0. 3^{x}

= - 0.83058 \dots \cdot 0. 3^{x} x - 0.68986 \dots \cdot 0. 3^{x}

Add a constant to the solution

= - 0.83058 \dots \cdot 0. 3^{x} x - 0.68986 \dots \cdot 0. 3^{x} + C

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What is the integral of x0.3^x ?
The integral of x0.3^x is -0.83058…*0.3^xx-0.68986…*0.3^x+C