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Popular >

integral from 0 to 2 of (e^x+2)

Solution

\int_{0}^{2} (e^{x} + 2) d x

Solution

e^{2} + 3

+1

Decimal Notation

10.38905 \dots

Solution steps

\int_{0}^{2} e^{x} + 2 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_{0}^{2} e^{x} d x + \int_{0}^{2} 2 d x

\int_{0}^{2} e^{x} d x = e^{2} - 1

\int_{0}^{2} 2 d x = 4

= e^{2} - 1 + 4

Simplify

= e^{2} + 3

Popular Examples

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\int_{e}^{e^{3}} \frac{1}{x ( ln ( x ) ) ^{3}} d x

integral from 0 to 1 of sqrt(9-12x+4x^2)

\int_{0}^{1} 9 - 12 x + 4 x^{2} d x

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\int_{0}^{1} (2 ln (x)) d x

integral from 0 to 2pi of 4cos(x)sin(x)

\int_{0}^{2 π} 4 cos (x) sin (x) d x

integral from 0 to 3 of x/(1+x^4)

\int_{0}^{3} \frac{x}{1 + x ^{4}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (e^x+2) ?
The integral from 0 to 2 of (e^x+2) is e^2+3