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Popular >

integral of e^x10^x

Solution

\int e^{x} 1 0^{x} d x

Solution

\frac{( e 10 ) ^{x}}{ln ( e 10 )} + C

Solution steps

\int e^{x} \cdot 1 0^{x} d x

Apply exponent rule:

a^{n} \cdot b^{n} = (a \cdot b)^{n}

e^{x} 1 0^{x} = (e 10)^{x}

= \int (e 10)^{x} d x

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

= \frac{( e 10 ) ^{x}}{ln ( e 10 )}

Add a constant to the solution

= \frac{( e 10 ) ^{x}}{ln ( e 10 )} + C

Graph

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\int (1 + tan^{2} (x)) sec^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of e^x10^x ?
The integral of e^x10^x is ((e10)^x)/(ln(e10))+C