What is area y=e^x,y=e^{7x},x=0,x=ln(2) ?

The answer to area y=e^x,y=e^{7x},x=0,x=ln(2) is 120/7

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area y=e^x,y=e^{7x},x=0,x=ln(2)

area

y = e^{x}, y = e^{7 x}, x = 0, x = ln (2)

\frac{120}{7}

Decimal Notation

17.14285 \dots

Solution steps

Apply the area formula:

\int_{0}^{l n (2)} e^{x} - e^{7 x} d x

Solve

\int_{0}^{l n (2)} e^{x} - e^{7 x} d x : \frac{120}{7}

The area is:

= \frac{120}{7}

y = 5 x^{7} ln (x)

\frac{d}{d x} (e^{x} - x^{2} + 3 x - 2)

\int_{- 2}^{3} \frac{17}{x ^{4}} d x

y^{^{''}} = 2 y^{^{'}} + 8 y

\int \frac{4}{3} e^{4 x} d x

What is area y=e^x,y=e^{7x},x=0,x=ln(2) ?
The answer to area y=e^x,y=e^{7x},x=0,x=ln(2) is 120/7