What is area e^x,e^{-3x},x=ln(5) ?

The answer to area e^x,e^{-3x},x=ln(5) is 1376/375

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area e^x,e^{-3x},x=ln(5)

area

e^{x}, e^{- 3 x}, x = ln (5)

\frac{1376}{375}

Decimal Notation

3.66933 \dots

Solution steps

Apply the area formula:

\int_{0}^{l n (5)} e^{x} - e^{- 3 x} d x

Solve

\int_{0}^{l n (5)} e^{x} - e^{- 3 x} d x : \frac{1376}{375}

The area is:

= \frac{1376}{375}

\int \frac{x + 5}{x ^{2} + 9} d x

x \to 2 lim (f (x) + g (x))

\frac{1}{x - 8}

\int \frac{6 x ^{3} + 2 x ^{2} - 45 x - 15}{x ^{2} - 9} d x

6 - x

What is area e^x,e^{-3x},x=ln(5) ?
The answer to area e^x,e^{-3x},x=ln(5) is 1376/375