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Popular >

integral of e^x2^x

Solution

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

Solution

\frac{( e 2 ) ^{x}}{ln ( e 2 )} + C

Solution steps

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

Apply exponent rule:

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

e^{x} 2^{x} = (e 2)^{x}

= \int (e 2)^{x} d x

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

= \frac{( e 2 ) ^{x}}{ln ( e 2 )}

Add a constant to the solution

= \frac{( e 2 ) ^{x}}{ln ( e 2 )} + C

Popular Examples

integral of x^2+3x-4

\int x^{2} + 3 x - 4 d x

integral of sqrt(2)x

\int 2 x d x

integral of x^3(1-4x^2)^{3/2}

\int x^{3} (1 - 4 x^{2})^{\frac{3}{2}} d x

integral of (cos(x+4y)-2xz)

\int (cos (x + 4 y) - 2 x z) d x

integral of 8/(x^3-4x)

\int \frac{8}{x ^{3} - 4 x} d x

Frequently Asked Questions (FAQ)

What is the integral of e^x2^x ?
The integral of e^x2^x is ((e2)^x)/(ln(e2))+C