What is area y=e^{3x},x=0,x=3 ?

The answer to area y=e^{3x},x=0,x=3 is (e^9-1)/3

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area y=e^{3x},x=0,x=3

area

y = e^{3 x}, x = 0, x = 3

\frac{e ^{9} - 1}{3}

Decimal Notation

2700.69464 \dots

Solution steps

Apply the area formula:

\int_{0}^{3} e^{3 x} d x

Solve

\int_{0}^{3} e^{3 x} d x : \frac{e ^{9} - 1}{3}

The area is:

= \frac{e ^{9} - 1}{3}

\frac{d}{d x} (e^{- 0.1 x})

f (x) = (x + 1)^{3} (x + 4) (x - 3)^{2}

x \to 3 + lim (x^{3} - c x)

f (x) = 4 x^{2} - 5 x, at x = - 1

What is area y=e^{3x},x=0,x=3 ?
The answer to area y=e^{3x},x=0,x=3 is (e^9-1)/3