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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-Questions from Previous Years. AIEEE/ JEE Main Papers
- 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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- The value of the integral int(-pi//2)^(pi//2) sin^(4) x (1+ log ((2+ s...
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- The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x))dx is
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- The value of int(0)^(pi)|cos x|^(3)dx is :
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- If int(0)^(pi//3)(tantheta)/(sqrt(2ksectheta))d theta=1-(1)/(sqrt(2)),...
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- lim(n rarr oo)((n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2)) + (n)/(n^(2)+3^(2))...
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- If |f(x)-f(y)|le2|x-y|^((3)/(2)) AAx,yinR and f(0)=1 then value of int...
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- The value of int(-pi//2)^(pi//2)(dx)/([x] + [ sin x] +4), where [t]...
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- If int0^xf(t)dt=x^2+intx^1t^2f(t)dt, then f^(prime)(1/2) is
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- The value of the integral underset(-2)overset2intsin^2x/(-2[x/pi]+1/2)...
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- The integral int(1)^(e){((x)/(e))^(2x)-((e)/(x))^(x)} "log"(e)x dx is...
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- Let f and g be continuous functions on [ 0 , a] such that f(x)=f(x)=...
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- The integral int(pi//6)^(pi//4)(dx)/(sin2x(tan^(5)x+cot^(5)x)) equals
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