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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-Questions from Previous Years. AIEEE/ JEE Main Papers
- Variable x and y are related by equation x =int0^y (dt)/sqrt(1+t^2). ...
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- The integral int(7pi//4)^(7pi//3) sqrt(tan^(2) x) dx is equal to
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- The integral int0^pisqrt(1+4sin^2x/2-4sinx/2dx) equal (1) pi-4 (2)...
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- the integral int0^(1/2) (ln(1+2x))/(1+4x^2) dx equals
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- If for n ge 1, P(n) = int(1)^( e) (log x)^(n) dx, then P(10) - 90P(8) ...
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- int(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is ...
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- If for a continuous function f(x), int(-pi)^(t) (f(x)+ x) dx= pi^(2) -...
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- Let function F be defined as f(x)= int1^x e^t/t dt x > 0 then the v...
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- The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...
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- Let f: RR rarr RR be a function such that f(2 - x) =f(2 + x) and f(4-x...
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- Let f : (-1,1) to R be continous function , if int (0)^(sinx) f(t)...
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- If f(x)=underset(1)overset(x)int (log t)/(1+t) dt"then" f(x)+f((1)/(x)...
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- If 2int0^1 tan^(-1)x dx= int0^1 cot^(-1)(1-x+x^2) dx then int0^1 tan^(...
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- underset (n rarr infty )(lim) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is e...
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- int4^10([x^2])/([x^2-28 x+196]+[x^2])dx is (A) 3 (B) 5 (C) 7 (D) 9
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- The integral int(pi/12)^(pi/4)(8cos2x)/((tanx+cotx)^3)dx equals
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- If int(1)^(2) (dx)/( (x^(2) -2x + 4)^(3/2))=(k)/( k+5) then k is equal...
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- int(pi//4)^(3pi//4)(dx)/(1+cos x)=
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- Find a for which lim(n->oo) (1^a+2^a+3^a+...+n^a)/((n+1)^(a-1)[(na+1)+...
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- If i is the greatest of the definite integrals I1=int0^1 e^-x cos ^2 ...
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