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Popular Calculus >

integral of ba^x

Solution

\int b a^{x} d x

Solution

\frac{b a ^{x}}{ln ( a )} + C

Solution steps

\int b a^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= b \cdot \int a^{x} d x

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

= b \frac{a ^{x}}{ln ( a )}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{b a ^{x}}{ln ( a )}

Add a constant to the solution

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

Graph

Popular Examples

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integral of ((1+sin(x)))/(cos(x))

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Frequently Asked Questions (FAQ)

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