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Popular >

integral of e^x+6

Solution

\int e^{x} + 6 d x

Solution

e^{x} + 6 x + C

Solution steps

\int e^{x} + 6 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 6 d x

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

\int 6 d x = 6 x

= e^{x} + 6 x

Add a constant to the solution

= e^{x} + 6 x + C

Graph

Popular Examples

integral of 4e^{4z}

\int 4 e^{4 z}

integral of-x^2+10x

\int - x^{2} + 10 x d x

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

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

integral of (x^2)/(8x^3)

\int \frac{x ^{2}}{8 x ^{3}} d x

integral of 1/(xsqrt(1-2ln(x)))

\int \frac{1}{x 1 - 2 ln ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of e^x+6 ?
The integral of e^x+6 is e^x+6x+C