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Popular >

integral of 4e^x+6

Solution

\int 4 e^{x} + 6 d x

Solution

4 e^{x} + 6 x + C

Solution steps

\int 4 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 4 e^{x} d x + \int 6 d x

\int 4 e^{x} d x = 4 e^{x}

\int 6 d x = 6 x

= 4 e^{x} + 6 x

Add a constant to the solution

= 4 e^{x} + 6 x + C

Popular Examples

integral of 4/(100-x)

\int \frac{4}{100 - x} d x

integral of 5arccos(x)

\int 5 arccos (x) d x

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

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

integral of sinh(x)e^{-x}

\int sinh (x) e^{- x} d x

integral of x^3(1+9x^4)^{-3/2}

\int x^{3} (1 + 9 x^{4})^{- \frac{3}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 4e^x+6 ?
The integral of 4e^x+6 is 4e^x+6x+C