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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Chapter Test 2
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- If I(m)=int(0)^(oo) e^(-x)x^(n-1)dx, "then" int(0)^(oo) e^(-lambdax) x...
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- If I(m,n)=int(0)^(1)x^(m-1) (1-x)^(n-1)dx then
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- The total number of extremum(s) of y=int0^(x^2)(t^2-5t+4)/(2+e^t)dt ar...
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- The tangent to the curve y=f (x) at the point with abscissa x =1 from ...
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- int(-pi)^(pi) (2x(1+ sinx))/(1+ cos^(2))dx is
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- The value of the inntegral int(alpha)^(beta) (1)/(sqrt((x-alpha)(beta-...
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- The value of the integral int(alpha)^(beta) sqrt((x-alpha)(beta-x))dx,...
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- If int(0)^(x^(2)) sqrt(1=t^(2)) dt, then f'(x)n equals
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- The value of integral int(1)^(e) (log x)^(3)dx , is
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- If int(x^(2))^(x^(4)) sin sqrt(t) dt, f'(x) equals
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- lim(n-gtoo)[(1+1/n)(1+2/n)(1+n/n)]^(1/n)
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- The value of lim(n->oo) [(1+1/n^2)(1+2^2/n^2)...(1+n^2/n^2)]^(1/n)
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- If int(0)^(1) e^(x^(2))(x-alpha)dx=0 then
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- If f(x) satisfies the requirements of Rolle's Theorem in [1,2] and f(x...
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- The value of the integral int(0)^(1) cot^(-1) (1-x+x^(2))dx, is
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- The integral int(-1)^(1) (|x+2|)/(x+2)dx is equal to
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- Let I= int(0)^(1) (x^(x))/( x+1) dx, then the vlaue of the intergral ...
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- The value of the integral int(0)^(pi) (xdx)/(1+cos alpha sinx), 0 lt a...
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- int(pi)^(10n) |sin x|dx is equla to
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