the area of the region under the curve of the function f(x) = 5x + 7 on the interval [1, b] is 88 square units, where b > 1.
the value of b is ?

b = -83/5

Step-by-step explanation:

So we know the integral of a function from a to b represents the area under the curve.  And we solve integrals subtracting the equation when plugging in a, from the equation when plugging in b.

We can write this into a formula like such:

(5 * 1 + 7) - (5b + 7) = 88

12 -5b - 7 = 88

5 - 5b = 88

5b = -83

b = -83/5

b=3.827

Step-by-step explanation:

Given that the area of the region under the curve of the function f(x) = 5x + 7 on the interval [1, b] is 88 square units, where b > 1.

Area of the curve above x axis under f(x) between a and b is given by

=

=

Substitute limits

Area =

(Negative value b =-5.227 is ignored as given that b>1)

idn

step-by-step explanation:

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.