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Popular >

integral of 5e^x+7

Solution

\int 5 e^{x} + 7 d x

Solution

5 e^{x} + 7 x + C

Solution steps

\int 5 e^{x} + 7 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 5 e^{x} d x + \int 7 d x

\int 5 e^{x} d x = 5 e^{x}

\int 7 d x = 7 x

= 5 e^{x} + 7 x

Add a constant to the solution

= 5 e^{x} + 7 x + C

Popular Examples

integral of (cos(x))^3*sin(x)

\int (cos (x))^{3} \cdot sin (x) d x

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

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

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

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

integral of (10)/(2x+5)

\int \frac{10}{2 x + 5} d x

integral of 5e^x+5

\int 5 e^{x} + 5 d x

Frequently Asked Questions (FAQ)

What is the integral of 5e^x+7 ?
The integral of 5e^x+7 is 5e^x+7x+C