Brooke_army
A problem with definite integral



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Brooke_army
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\[\int\limits_{2}^{2} f(x)dx+\int\limits_{2}^{5} f(x)dx\int\limits_{2}^{1}f(x)dx\]

Brooke_army
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express as a single integral
find a and b

Brooke_army
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I have no idea how to even start this problem

sauravshakya
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dw:1358611521259:dw

sauravshakya
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Now, u cancel dw:1358611629531:dw

sauravshakya
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So, what will u get after that?

sriramkumar
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\[\int\limits_{2}^{5}f(x)dx ???\]

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

sriramkumar
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\[\int\limits_{b}^{c}f(X)  \int\limits_{a}^{b}f(x) = \int\limits_{a}^{b}f(X) + \int\limits_{b}^{c}f(x)=\int\limits_{c}^{a}f(x)\]
@sauravshakya

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

sriramkumar
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sauravshakya
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dw:1358612120245:dw

sriramkumar
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so that will be the final answer :D ;)