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Popular Calculus >

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

Graph

Popular Examples

integral of (20x)/(\sqrt[3]{7-3x^2)}

\int \frac{20 x}{3 7 - 3 x ^{2}} d x

integral of (e^x)/((1-3e^x)^2)

\int \frac{e ^{x}}{( 1 - 3 e ^{x} ) ^{2}} d x

integral of 3(x)^{3/2}

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

integral of (4x)/(x^2-a^2)

\int \frac{4 x}{x ^{2} - a ^{2}} d x

integral of cos(x)(e^{sin(x)}+sin^3(x))

\int cos (x) (e^{s i n (x)} + sin^{3} (x)) 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