## anonymous 3 years ago A problem with definite integral

1. anonymous

$\int\limits_{-2}^{2} f(x)dx+\int\limits_{2}^{5} f(x)dx-\int\limits_{-2}^{-1}f(x)dx$

2. anonymous

express as a single integral find a and b

3. anonymous

I have no idea how to even start this problem

4. anonymous

|dw:1358611521259:dw|

5. anonymous

Now, u cancel |dw:1358611629531:dw|

6. anonymous

So, what will u get after that?

7. anonymous

$\int\limits_{-2}^{5}f(x)dx ???$

8. anonymous

U also need to subtract |dw:1358611862235:dw| @sriramkumar

9. anonymous

$\int\limits_{b}^{c}f(X) - \int\limits_{a}^{b}f(x) = \int\limits_{a}^{b}f(X) + \int\limits_{b}^{c}f(x)=\int\limits_{c}^{a}f(x)$ @sauravshakya

10. anonymous

its a simple identity proof, a tricky question thats all :D

11. anonymous

12. anonymous

|dw:1358612120245:dw|

13. anonymous

so that will be the final answer :D ;)