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Popular >

integral of 2+3^x

Solution

\int 2 + 3^{x} d x

Solution

2 x + \frac{3 ^{x}}{ln ( 3 )} + C

Solution steps

\int 2 + 3^{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 d x + \int 3^{x} d x

\int 2 d x = 2 x

\int 3^{x} d x = \frac{3 ^{x}}{ln ( 3 )}

= 2 x + \frac{3 ^{x}}{ln ( 3 )}

Add a constant to the solution

= 2 x + \frac{3 ^{x}}{ln ( 3 )} + C

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\int \frac{1}{x ^{5} + x ^{3}} d x

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\int 8 sin (2 x + 90) d x

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integral of x^3sqrt(x^2+47)

\int x^{3} x^{2} + 47 d x

Frequently Asked Questions (FAQ)

What is the integral of 2+3^x ?
The integral of 2+3^x is 2x+(3^x)/(ln(3))+C