What is the integral from 0 to 3 of 3^x ?

The integral from 0 to 3 of 3^x is (26)/(ln(3))

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integral from 0 to 3 of 3^x

\int_{0}^{3} 3^{x} d x

\frac{26}{ln ( 3 )}

Decimal Notation

23.66621 \dots

Solution steps

\int_{0}^{3} 3^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{3 ^{x}}{ln ( 3 )}]_{0}^{3}

Compute the boundaries:

\frac{26}{ln ( 3 )}

= \frac{26}{ln ( 3 )}

\frac{3}{x + 1}

\int (5^{x} + 2^{5}) d x

f (x) = 8 x e^{x} - 8 e^{x}

y = 3 x + 1, (8, 5)

\frac{d}{d x} (\frac{x ^{4}}{e ^{x}})

What is the integral from 0 to 3 of 3^x ?
The integral from 0 to 3 of 3^x is (26)/(ln(3))