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Popular >

integral of 2e^x-1

Solution

\int 2 e^{x} - 1 d x

Solution

2 e^{x} - x + C

Solution steps

\int 2 e^{x} - 1 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 2 e^{x} d x - \int 1 d x

\int 2 e^{x} d x = 2 e^{x}

\int 1 d x = x

= 2 e^{x} - x

Add a constant to the solution

= 2 e^{x} - x + C

Graph

Popular Examples

integral of sqrt(4x+1)

\int 4 x + 1 d x

limit as x approaches 0 of (6x^2)/(2x^2)

x \to 0 lim (\frac{6 x ^{2}}{2 x ^{2}})

integral of \sqrt[3]{2x^2}

\int 3 2 x^{2} d x

(dy)/(dx)= 1/2 (kx^{-1}-x)

\frac{d y}{d x} = \frac{1}{2} (k x^{- 1} - x)

limit as x approaches-4 of-(2x^2-17)/3

x \to - 4 lim (- \frac{2 x ^{2} - 17}{3})

Frequently Asked Questions (FAQ)

What is the integral of 2e^x-1 ?
The integral of 2e^x-1 is 2e^x-x+C