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VK JAISWAL ENGLISH-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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- If int (-alpha) ^(alpha ) (e ^(x) + cos x ln (x + sqrt(1+x ^(2))))dx g...
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- For a gt 0, if I = int sqrt((x)/(a ^(3) -x ^(3)))dx = A sin ^(-1) ((x ...
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- Let int x sin x. sec ^(3) x dx =1/2 (x.f (f(x)-f(x)) +k, then:
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- If int(sin3theta+sintheta)costhetae^sinthetadtheta=(Asin^3theta+Bcos^2...
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- For a gt 0,if I= int sqrt((x)/(a ^(3) -x ^(3)))dx =A sin ^(-1) ((x ^(3...
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- If f (x+y) =f (x) f(y) for all x,y and f (0) ne 0, and F (x) =(f(x))/...
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- Let J=int (-1) ^(2) (cot ^(-1) ""(1)/(x )+ cot ^(-1) x ) dx, K =int (-...
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- Which of the following function (s) is/are even ?
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- Let I (1) =lim (x to oo) sqrt((x-cos ^(2)x)/(x+sin x))and l (2) =lim (...
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- For a gt 0,if I= int sqrt((x)/(a ^(3) -x ^(3)))dx =A sin ^(-1) ((x ^(3...
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- If int (dx)/(1- sin ^(4)x )= a tan x +b tan ^(-1) (c tan x )+ D, then...
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- The value of definite integral : int (-2014) ^(2014) (dx )/(1+ sin ^...
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- Let L = lim (n to oo)int (a)^(oo)(n dx )/(1+n ^(2)x ^(2)) where a in ...
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- Let I =int (0)^(1 ) sqrt((1+sqrtx)/(1-sqrtx)) dx then correct statemen...
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