What is area y=3sin(x),y=e^{7x},x=0,x= pi/2 ?

The answer to area y=3sin(x),y=e^{7x},x=0,x= pi/2 is 8512.53450…

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area y=3sin(x),y=e^{7x},x=0,x= pi/2

area

y = 3 sin (x), y = e^{7 x}, x = 0, x = \frac{π}{2}

8512.53450 \dots

Solution steps

Apply the area formula:

\int_{0}^{\frac{π}{2}} 3 sin (x) - e^{7 x} d x

Solve

\int_{0}^{\frac{π}{2}} 3 sin (x) - e^{7 x} d x : 8512.53450 \dots

The area is:

= 8512.53450 \dots

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x \to 0 lim (\frac{9}{x} - \frac{9}{x ^{2} + x})

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What is area y=3sin(x),y=e^{7x},x=0,x= pi/2 ?
The answer to area y=3sin(x),y=e^{7x},x=0,x= pi/2 is 8512.53450…