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Popular >

integral of 2^x5^x

Solution

\int 2^{x} 5^{x} d x

Solution

\frac{1 0 ^{x}}{ln ( 10 )} + C

Solution steps

\int 2^{x} \cdot 5^{x} d x

Simplify

2^{x} \cdot 5^{x} : 1 0^{x}

= \int 1 0^{x} d x

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

= \frac{1 0 ^{x}}{ln ( 10 )}

Add a constant to the solution

= \frac{1 0 ^{x}}{ln ( 10 )} + C

Popular Examples

integral of (e^{-x^3}x^2)

\int (e^{- x^{3}} x^{2}) d x

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\frac{\partial}{\partial v} (\frac{u}{v})

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y \cdot ln (x) - x^{2} y = x y^{^{'}}

(\partial)/(\partial x)(ln(x+y^4)-z)

\frac{\partial}{\partial x} (ln (x + y^{4}) - z)

Frequently Asked Questions (FAQ)

What is the integral of 2^x5^x ?
The integral of 2^x5^x is (10^x)/(ln(10))+C