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Popular >

integral of a^u

Solution

\int a^{u} d u

Solution

\frac{a ^{u}}{ln ( a )} + C

Solution steps

\int a^{u} d u

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

= \frac{a ^{u}}{ln ( a )}

Add a constant to the solution

= \frac{a ^{u}}{ln ( a )} + C

Popular Examples

derivative of 3/(t^2)derivative of

\frac{3}{t ^{2}}

integral of cos^3(θ)

\int cos^{3} (θ) d θ

(\partial)/(\partial x)(((x+y))/(x-y))

\frac{\partial}{\partial x} (\frac{( x + y )}{x - y})

integral from 0 to 1 of sqrt(1+x^4+2x^2)

\int_{0}^{1} 1 + x^{4} + 2 x^{2} d x

integral of 1/((x+1)(x-2))

\int \frac{1}{( x + 1 ) ( x - 2 )} d x

Frequently Asked Questions (FAQ)

What is the integral of a^u ?
The integral of a^u is (a^u)/(ln(a))+C