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Popular >

integral of e^x*10^x

Solution

\int e^{x} \cdot 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

Popular Examples

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\int x^{3} + x^{2} - 2 x d x

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x^{2} + 1

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\int \frac{1}{x ^{2} + 5 ^{2}} d x

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\int (e^{8 x}) d x

integral of 1/(5xln(x))

\int \frac{1}{5 x ln ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of e^x*10^x ?
The integral of e^x*10^x is ((e10)^x)/(ln(e10))+C