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- If int0^x f(t)dt=x+intx^1 t f(t)dt, then f(1)= (A) 1/2 (B) 0 (C) 1 (D)...
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- If f(x)=int(x^8+4)/(x^4-2x^2+2)dx and f(0)=0,t h e n (a)f(x) is an...
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- The number of values of x in the interval [0,(7pi)/2] satisfying the e...
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- If f(x)=int0^(pi/2)ln(1+xsin^2theta)/(sin^2theta) d theta, x >= 0 the...
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- The term independent of x in the expansion of (x-1/x)^4(x+1/x)^3...
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- The value of the definite integral int2^4(x(3-x)(4+x)(6-x)(10-x)+sinx...
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- In any triangle A B C ,sumasin(B-C) in equal to a b+b c+c a b. 0 c...
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- int0^(pi/4)((sinx+cosx)/(3+sin2x))dx
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- In an equilateral triangle, the inradius and the circumradius are c...
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- In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...
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- Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) su...
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- Let J=int (-1) ^(2) (cot ^(-1) ""(1)/(x )+ cot ^(-1) x ) dx, K =int (-...
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- If In=int0^(pi//4)tan^("n")x dx , prove that In+I(n-2)=1/(n+1)dot
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- Twenty coupons are numbered 1,2,3......, 20 respectively. Four coup...
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- If A is a square matrix of order 3, then |(A-A^T)^(105)| is equal to 1...
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- The mean of the data set comprising of 16 observation is 16. If one...
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- If N=2^(n-1).(2^n-1) where 2^n-1 is a prime, then the sum of the all ...
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- The value of int0^(pi/4) (e^(1/(cos^2x)).sinx)/(cos^3 x)dx equals ...
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- If z=sqrt(3)-2+i , then principal value of argument z is (where i=sqrt...
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- If 3A=[-1-2-2 2 1-2x-2y] such that AA^T=I , then which of the followin...
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