Find the area between the functions y x 1 and y x3 1 from x...

Transcript

00:01 This is what i see from your question.

00:05 So the functions, y is equal to blah blah, something else.

00:09 So those functions cannot read very clearly.

00:13 But let me just guess some functions.

00:16 So i think in the first one, the y is equal to x plus 1, let's say.

00:24 And the second one, y is equal to 1 over 2 times x.

00:28 So we got two functions both of them are linear functions so if i want to draw these functions because it would be helpful to find the area between them so y is equal to x plus one when you just plug in zero for x we will get one on the y axis and when you plug in zero for y we will get negative one on the x axis so if i just combine these two points i will get the first line let's say this is the first line and for the second line we have y is equal to one half x so if i drove so this is a function which is um which is passing through the origin here let's say this is the y is equal to 1 over 2 x so we have to find the value of them which is there is a vertical line x is equal to 1 and x is equal to 4 so if i just draw them let me just make it more maybe this one so let me just make this and this is the another function we have sorry about that okay we got it so we have the lines x is equal to 1 and the other one is x is equal to 4 so we have the area between this two which is this one okay so for the area of this shaded region we have to use the integral so the function which is up to the other one which is x plus one so that is x plus one minus the other function one over two x so the boundaries is from one to four so that i'm going to just take the integral of this one let me just simplify the inside of integral which is x over two plus one to two d x let's take the integral of the function, which is x to the second over 4 and plus x...

Question

Find the area between the functions y = -x - 1 and y = x^3 + 1 from x = -1 to x = 1.

Question

Find the area between the functions y = -x - 1 and y = x^3 + 1 from x = -1 to x = 1.

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