Grade 12Integral Calculus

integral sin{lim(t tends to 0)(2x/pie)cot(inverse)(x/t*t)}

take limit from -pie/2 to pie/2

darshan arun joshi

16 Years agoGrade 12

12 Years ago

Ans:0

$I = \int_{-\pi /2}^{\pi /2}sin(\lim_{t\rightarrow 0}\frac{2x}{\pi }.\cot ^{-1}\frac{x}{t^{2}})dx$

$I = \int_{-\pi /2}^{\pi /2}sin(\lim_{t\rightarrow 0}\frac{2x}{\pi }.0)dx$

$I = \int_{-\pi /2}^{\pi /2}sin(0)dx$

$I = \int_{-\pi /2}^{\pi /2}0dx = 0$

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Jitender Singh

IIT Delhi

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