For problems 4 7 int37 fxdx 17 int311 fxdx 40 int311 gxdx 10...

Name: for problems 4 7 int37 fxdx 17 int311 fxdx 40 int311 gxdx 10 4 find int73 fxdx 5 find int711 fxdx 6 find int311 fx gxdx 7 find int311 fx 5dx 96306
Uploaded: 2021-11-11T06:08:31-08:00
Duration: 7 min 12 s
Channel: Uma Kumari
Description: for problems 4 7 int37 fxdx 17 int311 fxdx 40 int311 gxdx 10 4 find int73 fxdx 5 find int711 fxdx 6 find int311 fx gxdx 7 find int311 fx 5dx 96306

For problems 4-7, $\int_3^7 f(x)dx = 17$, $\int_3^{11} f(x)dx = 40$, $\int_3^{11} g(x)dx = 10$ 4. find $\int_7^3 f(x)dx$ 5. find $\int_7^{11} f(x)dx$ 6. find $\int_3^{11} [f(x) - g(x)]dx$ 7. find $\int_3^{11} [f(x) + 5]dx$

Transcript

00:01 In this question, it is given that integration 1 to 4 f x d x is equals to 5, integration 3 to 4 fx d x is equal to 7 and integration 1 to 8 fx d x is equals to 11.

00:27 We are required to find the value of integration 4 to 8 fx dx, integration 4 to 3 fx dx, integration 1 to 3 fx dx integration 1 to 3xxx integration 8 to 8 to 4, fx dx and integration 4 to 4 fx d x.

01:17 So let's see how to solve this question.

01:21 We know that the integration a to c fx dx plus integration c to b fx d x dx is equal to integration a to b fx dx dx so based on this theorem, we can write integration 4 to 8 fx dx is equals to integration 4 to 1 fx dx plus integration 1 to 8 fx dx and we can write it as minus integration 1 to 4x dx plus fx dx plus and we can write it as minus integration 1 to 4 fx dx plus integration 1 to 8 f x d x now substitute all the values so we have the value of integration 1 to 4 f x d x that is 5 plus we have the value of integration 1 to 8 f x d x that is 11 so when we further calculate this finally we get integration 4 to 8 f x d x is equals to 6 so this is the final answer for part a and now let's move to part b.

03:06 The integration 4 to 3 fx dx will be equals to minus of integration 3 to 4 fx d x we have the value of integration 3 to 4 fx d x.

03:22 We have the value of integration 3 to 4 fx d x so substitute this so finally we get integration 4 to 3 fx d x is equal to minus seven so this is the final answer for part b and now let's move to part c the integration of one two three f x d x will be equals to integration one to four f x d x d x plus integration four to three fx d x d x and we can write it as integration 1 to 4 f x d x minus of integration 3 to 4 f x d x we already have the value of these integrals so now substitute those values so we will have integration 1 2 3 f x d x is equal to 5 minus 7 so this will be equals to minus 2 so this is the final answer for part c and now let's move to part d.

04:55 The integration of 3 to 8 fx d x can be written as integration 3 to 4 f x dx plus integration 4 to 1 fx dx plus integration 1 to 1 8 fx d x now substitute the value of these integrals so we can write 7 minus 5 plus 11...

Question

For problems 4-7, $\int_3^7 f(x)dx = 17$, $\int_3^{11} f(x)dx = 40$, $\int_3^{11} g(x)dx = 10$ 4. find $\int_7^3 f(x)dx$ 5. find $\int_7^{11} f(x)dx$ 6. find $\int_3^{11} [f(x) - g(x)]dx$ 7. find $\int_3^{11} [f(x) + 5]dx$

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