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Popular >

integral of e^x(e-1)

Solution

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

Solution

(e - 1) e^{x} + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

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

= (e - 1) e^{x}

Add a constant to the solution

= (e - 1) e^{x} + C

Popular Examples

integral of (7x^3+8x)/(x-1)

\int \frac{7 x ^{3} + 8 x}{x - 1} d x

(ln(x+sqrt(x^2+1)))^'

(ln (x + x^{2} + 1))^{^{'}}

sum from n=0 to infinity of 7+e^{-4n}

n = 0 \sum \infty 7 + e^{- 4 n}

integral of 3/4 x^2-5x^3

\int \frac{3}{4} x^{2} - 5 x^{3} d x

integral of sin^3(1)

\int sin^{3} (1) d x

Frequently Asked Questions (FAQ)

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