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Math Help! (Integrals)


Camila Cabello

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7 is the area between the given parabolic function and the x-axis from x = 2 to x=5

6 without the 0-4 is like, find the general integral function, so your solution should be a function, but when given the 0-4, you're supposed to plug in the 4 and 0 into F(t) to get a numerical solution

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I gotchu.

 

For the first one:

The integral on the left is an indefinite integral, where you solve for a function. The integral on the left, since it has an upper/lower bound, is a definite integral, in which you solve for a number.

 

I'm too lazy to do the second one by hand, but you can algebraically solve the integral by integrating each part of the function in parentheses and then substitute the bounds and subtract the lower bound from the upper bound. Graph (-x^2 + 6x - 7) and shade the area under the curve to show the geometric aspect of it.

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