What is area e^{5x},e^{10x},x=1 ?

The answer to area e^{5x},e^{10x},x=1 is (e^{10}-2e^5+1)/(10)

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area e^{5x},e^{10x},x=1

area

e^{5 x}, e^{10 x}, x = 1

\frac{e ^{10} - 2 e ^{5} + 1}{10}

Decimal

2173.06394 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} e^{5 x} - e^{10 x} d x

Solve

\int_{0}^{1} e^{5 x} - e^{10 x} d x : \frac{e ^{10} - 2 e ^{5} + 1}{10}

The area is:

= \frac{e ^{10} - 2 e ^{5} + 1}{10}

(x + 2) (10 - 3 x)

\int \frac{1}{x ^{2} - 6 x + 12} d x

\frac{d}{d x} (\frac{x ^{2} + 1}{x sin ( x )})

\int (\frac{5}{x} + e^{x}) d x

x \to - 1.001 lim (x^{3} - 1)

What is area e^{5x},e^{10x},x=1 ?
The answer to area e^{5x},e^{10x},x=1 is (e^{10}-2e^5+1)/(10)