What is area f(x)=4,g(x)=(e^x)/5 ,x=0 ?

The answer to area f(x)=4,g(x)=(e^x)/5 ,x=0 is 4ln(20)-19/5

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area f(x)=4,g(x)=(e^x)/5 ,x=0

area

f (x) = 4, g (x) = \frac{e ^{x}}{5}, x = 0

4 ln (20) - \frac{19}{5}

Decimal

8.18292 \dots

Solution steps

Apply the area formula:

\int_{0}^{l n (20)} 4 - \frac{e ^{x}}{5} d x

Solve

\int_{0}^{l n (20)} 4 - \frac{e ^{x}}{5} d x : 4 ln (20) - \frac{19}{5}

The area is:

= 4 ln (20) - \frac{19}{5}

What is area f(x)=4,g(x)=(e^x)/5 ,x=0 ?
The answer to area f(x)=4,g(x)=(e^x)/5 ,x=0 is 4ln(20)-19/5