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Popular >

integral of 7e^x-3

Solution

\int 7 e^{x} - 3 d x

Solution

7 e^{x} - 3 x + C

Solution steps

\int 7 e^{x} - 3 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 3 d x

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

\int 3 d x = 3 x

= 7 e^{x} - 3 x

Add a constant to the solution

= 7 e^{x} - 3 x + C

Popular Examples

\int - 6 t d t

limit as x approaches-2-of 3x+2

x \to - 2 - lim (3 x + 2)

integral from 1 to 5 of ln(x)

\int_{1}^{5} ln (x) d x

y^{''}-5y^'+6y=2e^{-2s},y(0)=0,y^'(0)=0

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 e^{- 2 s}, y (0) = 0, y^{^{'}} (0) = 0

derivative of (3x^2-10)^{-14}derivative of

(3 x^{2} - 10)^{- 14}

Frequently Asked Questions (FAQ)

What is the integral of 7e^x-3 ?
The integral of 7e^x-3 is 7e^x-3x+C