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Ask community Community Discussion Question: IIT BOMBAY OLYMPIAD QUESTION INTEGRATION SOLVE THIS !! integral-((pi/2)(0)[log(tanx)])
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shashank (84)

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IIT BOMBAY OLYMPIAD QUESTION INTEGRATION SOLVE THIS !!integral-((pi/2)(0)[log(tanx)])
    

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kabi (1799)

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I= int ( pi/2 , 0 ) log(tan(x)) dx

I= int (pi/2 , 0) log(cos(x)) dx

Adding above

2I= int (pi/2 , 0) log (1) dx

I= 0

thank u


The time u guys take to find the derivative of a function or for finding the equilibrium constant of a reaction or for finding the angle of dispersion of prism or for standing from ur seat to congratulate our team after their win almost in that time one kid die because of poverty.
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shashank (84)

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are you sure ???

Coz doesnt definite integral gives area under curve here we have logtanx tanx-->inf. to pi/2 the are i can t think can be zero .

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sajal kumar (53)

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definite integral gives area under the curve but doesn't take into account the sign....so the area can come 0 or negative........
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Mirka (2895)

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yeah ... so probably below the point x = pi/4 where y = 0 ..... area is negative and its magnitude equals d area of d part above d x-axis .....


-na-
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kabi (1799)

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The time u guys take to find the derivative of a function or for finding the equilibrium constant of a reaction or for finding the angle of dispersion of prism or for standing from ur seat to congratulate our team after their win almost in that time one kid die because of poverty.
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kabi (1799)

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so here is graphical solution .Man.
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NugoRama (5168)

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amazing....


There's a concept that works,
half a million aspirants emerge...
But no matter how many ** in the zoo,
It'll be so empty without you...
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kabi (1799)

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its not amazing.ya u can say my calculator is amazing who made it in splits of second.
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NugoRama (5168)

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not the graph...ur efforts to help ...


There's a concept that works,
half a million aspirants emerge...
But no matter how many ** in the zoo,
It'll be so empty without you...
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NugoRama (5168)

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graph toh koi bhi daal sakta hai ....net se ...calculators se ...aur ...etc etc....

 


There's a concept that works,
half a million aspirants emerge...
But no matter how many ** in the zoo,
It'll be so empty without you...
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