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Popular >

integral of e^x+3

Solution

\int e^{x} + 3 d x

Solution

e^{x} + 3 x + C

Solution steps

\int e^{x} + 3 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 e^{x} d x + \int 3 d x

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

\int 3 d x = 3 x

= e^{x} + 3 x

Add a constant to the solution

= e^{x} + 3 x + C

Graph

Popular Examples

integral of e^x+e^x

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

integral of (3k+3)/(k^2+8k+16)

\int \frac{3 k + 3}{k ^{2} + 8 k + 16} d k

integral of (cot(x))ln(sin(x))

\int (cot (x)) ln (sin (x)) d x

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

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

integral of (x^2+31)/(x^2+36)

\int \frac{x ^{2} + 31}{x ^{2} + 36} d x

Frequently Asked Questions (FAQ)

What is the integral of e^x+3 ?
The integral of e^x+3 is e^x+3x+C