What is the integral from-3 to 2 of 10^xln(10) ?

The integral from-3 to 2 of 10^xln(10) is 99999/1000

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integral from-3 to 2 of 10^xln(10)

\int_{- 3}^{2} 1 0^{x} ln (10) d x

\frac{99999}{1000}

Decimal

99.999

Solution steps

\int_{- 3}^{2} 1 0^{x} ln (10) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= ln (10) \cdot \int_{- 3}^{2} 1 0^{x} d x

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

= ln (10) [\frac{1 0 ^{x}}{ln ( 10 )}]_{- 3}^{2}

Compute the boundaries:

\frac{99999}{1000 ln ( 10 )}

= ln (10) \frac{99999}{1000 ln ( 10 )}

Simplify

= \frac{99999}{1000}

What is the integral from-3 to 2 of 10^xln(10) ?
The integral from-3 to 2 of 10^xln(10) is 99999/1000