What is the integral of x(1.2)^x ?

The integral of x(1.2)^x is 5.48481…*1.2^xx-30.08319…*1.2^x+C

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integral of x(1.2)^x

\int x (1.2)^{x} d x

5.48481 \dots \cdot 1. 2^{x} x - 30.08319 \dots \cdot 1. 2^{x} + C

Solution steps

\int x \cdot 1. 2^{x} d x

Apply Integration By Parts

: 5.48481 \dots \cdot 1. 2^{x} x - \int 5.48481 \dots \cdot 1. 2^{x} d x

= 5.48481 \dots \cdot 1. 2^{x} x - \int 5.48481 \dots \cdot 1. 2^{x} d x

\int 5.48481 \dots \cdot 1. 2^{x} d x = 30.08319 \dots \cdot 1. 2^{x}

= 5.48481 \dots \cdot 1. 2^{x} x - 30.08319 \dots \cdot 1. 2^{x}

Add a constant to the solution

= 5.48481 \dots \cdot 1. 2^{x} x - 30.08319 \dots \cdot 1. 2^{x} + C

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What is the integral of x(1.2)^x ?
The integral of x(1.2)^x is 5.48481…*1.2^xx-30.08319…*1.2^x+C