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Popular >

integral of 3e^x+4

Solution

\int 3 e^{x} + 4 d x

Solution

3 e^{x} + 4 x + C

Solution steps

\int 3 e^{x} + 4 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 3 e^{x} d x + \int 4 d x

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

\int 4 d x = 4 x

= 3 e^{x} + 4 x

Add a constant to the solution

= 3 e^{x} + 4 x + C

Popular Examples

integral of 1/(sin^2(y)csc(y))

\int \frac{1}{sin ^{2} ( y ) csc ( y )} d y

integral of (2x+1)*cos(4x)

\int (2 x + 1) \cdot cos (4 x) d x

integral of (5x^2+14x+10)/((x+2)(x+1)^2)

\int \frac{5 x ^{2} + 14 x + 10}{( x + 2 ) ( x + 1 ) ^{2}} d x

integral of sin(αx)

\int sin (αx) d x

integral of (5x-4)/(x^2+3x+2)

\int \frac{5 x - 4}{x ^{2} + 3 x + 2} d x

Frequently Asked Questions (FAQ)

What is the integral of 3e^x+4 ?
The integral of 3e^x+4 is 3e^x+4x+C