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Popular >

integral of (e^x-3)

Solution

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

Solution

e^{x} - 3 x + C

Solution steps

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

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

\int 3 d x = 3 x

= e^{x} - 3 x

Add a constant to the solution

= e^{x} - 3 x + C

Popular Examples

integral of (2t-t^2)sin(t^2-(t^3)/3)

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

integral of ln(1-4x)

\int ln (1 - 4 x) d x

integral of (3y-1)sqrt(3y^2-2y)

\int (3 y - 1) 3 y^{2} - 2 y d y

integral of ((x^2+3))/(sqrt(x^2+9))

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

integral of cot(x)sqrt(1-cos(2x))

\int cot (x) 1 - cos (2 x) d x

Frequently Asked Questions (FAQ)

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