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Popular >

integral of 7e^x+6

Solution

\int 7 e^{x} + 6 d x

Solution

7 e^{x} + 6 x + C

Solution steps

\int 7 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 7 e^{x} d x + \int 6 d x

\int 7 e^{x} d x = 7 e^{x}

\int 6 d x = 6 x

= 7 e^{x} + 6 x

Add a constant to the solution

= 7 e^{x} + 6 x + C

Popular Examples

integral of (x+1)e^{1-x}

\int (x + 1) e^{1 - x} d x

integral of (ln(6x))/(x^7)

\int \frac{ln ( 6 x )}{x ^{7}} d x

integral of (x^2+2x+1)^{10}

\int (x^{2} + 2 x + 1)^{10} d x

integral of (6x^2+5sqrt(x)+1/(x^3))

\int (6 x^{2} + 5 x + \frac{1}{x ^{3}}) d x

integral of 10^{4x-2}

\int 1 0^{4 x - 2} d x

Frequently Asked Questions (FAQ)

What is the integral of 7e^x+6 ?
The integral of 7e^x+6 is 7e^x+6x+C