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Popular >

integral of 2+e^x

Solution

\int 2 + e^{x} d x

Solution

2 x + e^{x} + C

Solution steps

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

\int 2 d x = 2 x

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

= 2 x + e^{x}

Add a constant to the solution

= 2 x + e^{x} + C

Popular Examples

integral of (6x^2-6x)/(1-3x^2+2x^3)

\int \frac{6 x ^{2} - 6 x}{1 - 3 x ^{2} + 2 x ^{3}} d x

integral of 2/((2t-1)^2+4)

\int \frac{2}{( 2 t - 1 ) ^{2} + 4} d t

integral of 1/(y(b-ay))

\int \frac{1}{y ( b - a y )} d y

integral of-(27)/(x^{28)}

\int - \frac{27}{x ^{28}} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 2+e^x ?
The integral of 2+e^x is 2x+e^x+C