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use the definite integral to find the area between the x axis and f(x) over the indicated interval.

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use the definite integral to find the area between the x axis and f(x) over the indicated interval.

f(x)= 3e^x -4; [-3,4]

the area between the x asix and f(x) is ?
asked Oct 5, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The function is image.

Find the area between function and image-axis on the interval image.

The area of the region bounded by the graphs of image and image and the vertical lines image and image is image.

Consider image-axis as image.

Graph:

Graph the functions image and image on the interval image.

image

Observe the graph:

The intersection point of two functions is image.

image on the interval image.

image on the interval image.

Step 2:

The area of the region is image.

Substitute image and image.

image

image

image

image

image

image

image.

Area between the image-axis and image is image.

Solution:

Area between the image-axis and image is image.
answered Oct 5, 2015 by Sammi Mentor

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