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Popular >

integral of (1-e^x)

Solution

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

Solution

x - e^{x} + C

Solution steps

\int 1 - e^{x} 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 1 d x - \int e^{x} d x

\int 1 d x = x

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

= x - e^{x}

Add a constant to the solution

= x - e^{x} + C

Popular Examples

integral of (4x-1)

\int (4 x - 1) d x

integral of (xe^x+x)

\int (x e^{x} + x) d x

integral of a^2-x^2

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

integral of (x^2)/((4x^2-4x-3)^{3/2)}

\int \frac{x ^{2}}{( 4 x ^{2} - 4 x - 3 ) ^{\frac{3}{2}}} d x

integral of (sqrt(5-3tan(x)))/(cos^2(x))

\int \frac{5 - 3 tan ( x )}{cos ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of (1-e^x) ?
The integral of (1-e^x) is x-e^x+C