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- If I1=int(-1)^1(tan^(-1)x+1/x)dx&I2=int(-1)^1(cot^(-1)x+cot^(-1)1/x)dx...
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- The number of different seven digit numbers that can be written using ...
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- Differentiate the following functions with respect to x:- sec(-1/x)+2...
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- If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...
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- Differentiate the following function from first principles: e^(-x)
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- Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...
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- Differentiate the following function with respect to x from first prin...
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- Ten IIT students and 2 DCE students sit in a row. The number of ways i...
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- The function u=e^x sinx , v=e^x cosx satisfy the equation (a) v (du...
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- Number of ways in which 7 people can occupy six seats, 3 seats on each...
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- Differentiate the following function with respect to x from first prin...
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- If y=x+e^x , then (d^2x)/(dy^2) is equal to
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- Differentiate the following functions with respect to log(x+sqrt(x^...
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- Find the number of ways in which 5A^(prime)sa n d6B ' s can be arrange...
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- If u=a x+b ,t h e n(d^n)/(dx^n)(f(a x+b)) is equal to a.(d^n)/(d u^n...
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- All the five digit numbers in which each successive digit exceeds its ...
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- Evaluate the following limit: (lim)(x->0)(s in3x-s in x)/(sinx)
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- If y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2)) and (dy)/(dx)=1/(2sqrt(x(...
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- The angles of a A B C are in A.P. (order being A, B, C) and it is ...
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- Differentiate the following functions with respect to x from first pri...
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