What is the integral from 2 to 5 of e^{1.5t}-2t ?

The integral from 2 to 5 of e^{1.5t}-2t is 1170.97125…

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integral from 2 to 5 of e^{1.5t}-2t

\int_{2}^{5} e^{1.5 t} - 2 t d t

1170.97125 \dots

Solution steps

\int_{2}^{5} e^{1.5 t} - 2 t d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{2}^{5} e^{1.5 t} d t - \int_{2}^{5} 2 t d t

\int_{2}^{5} e^{1.5 t} d t = 1191.97125 \dots

\int_{2}^{5} 2 t d t = 21

= 1191.97125 \dots - 21

Simplify

= 1170.97125 \dots

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What is the integral from 2 to 5 of e^{1.5t}-2t ?
The integral from 2 to 5 of e^{1.5t}-2t is 1170.97125…