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Popular >

integral of n^x

Solution

\int n^{x} d x

Solution

\frac{n ^{x}}{ln ( n )} + C

Solution steps

\int n^{x} d x

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

= \frac{n ^{x}}{ln ( n )}

Add a constant to the solution

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

Popular Examples

derivative of y=-25+5x+10e^{-x/5+1}derivative of

y = - 25 + 5 x + 10 e^{- \frac{x}{5} + 1}

y^'-7.5y=-12y^2

y^{^{'}} - 7.5 y = - 12 y^{2}

(\partial)/(\partial y)(7e^{yz}cos(xyz))

\frac{\partial}{\partial y} (7 e^{yz} cos (x yz))

derivative of x+sqrt(x)+7

\frac{d}{d x} (x + x + 7)

derivative of ((x+2(x^2-2x+4))/(x^3))

\frac{d}{d x} (\frac{( x + 2 ) ( x ^{2} - 2 x + 4 )}{x ^{3}})

Frequently Asked Questions (FAQ)

What is the integral of n^x ?
The integral of n^x is (n^x)/(ln(n))+C