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

The integral of t(1.2)^t is 5.48481…*1.2^tt-30.08319…*1.2^t+C

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integral of t(1.2)^t

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

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

Solution steps

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

Apply Integration By Parts

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

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

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

Add a constant to the solution

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

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