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Popular >

integral of 4^xe^x

Solution

\int 4^{x} e^{x} d x

Solution

\frac{( 4 e ) ^{x}}{ln ( 4 e )} + C

Solution steps

\int 4^{x} e^{x} d x

Apply exponent rule:

a^{n} \cdot b^{n} = (a \cdot b)^{n}

4^{x} e^{x} = (4 e)^{x}

= \int (4 e)^{x} d x

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

= \frac{( 4 e ) ^{x}}{ln ( 4 e )}

Add a constant to the solution

= \frac{( 4 e ) ^{x}}{ln ( 4 e )} + C

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\int 24 x^{5} arctan (2 x^{3}) d x

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\int 3^{x} sin (3^{x}) d x

integral of 1+y^2+xy^2

\int 1 + y^{2} + x y^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of 4^xe^x ?
The integral of 4^xe^x is ((4e)^x)/(ln(4e))+C