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MAHAVEER PUBLICATION-DEFINITE INTEGRAL-QUESTION BANK
- Evaluate: int0^1x\ e^x dx
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- Evaluate the following : int(0)^(1)x tan^(-1)xdx
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- Evaluate int0^(pi/2) xcosx dx
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- Evaluate int0^pi x^2 sinx dx
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- int0^(pi/2)sin^2xdx =
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- Use the idea of odd and even function to evaluate int(-1)^1 x(1-x^2) d...
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- Using the properties of definite integral,show that int0^(pi/2) log ta...
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- Evaluate: int0^pi(xsinx)/(1+cos^2x)dx
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- int(0)^(pi)(x tanx)/(secx+cosx)dx is
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- The value of int(0)^( pi/2)(sqrt(cos x))/(sqrt(sin x)+sqrt(cos x))dx
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- int(pi/3)^(pi/6)(dx)/(1+sqrttanx)
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- Evaluate int0^(pi/2) sinx/(sinx + cosx) dx
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- Evaluate: int0^pi x/(a^2cos^2x+b^2sin^2x)dx
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- Evaluate lim(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]
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- lim(n->oo)1/n[tan (pi/(4n))+tan((2 pi)/(4n))+...tan((npi)/(4n))]
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- Evaluate lim(nrarroo) [1/(n+k) + 1/(n+2k) + 1/(n+3k) +…+ 1/(n+nk)]
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- Evaluate lim(nrarroo) n [1/(n^2+1^2) + 1/(n^2+2^2) + 1/(n^2+3^2) +…+ 1...
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- lim(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]
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- Evaluate lim(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]
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- Evaluate lim(nrarroo) [(1^6 + 2^6 + 3^6…..+n^6)/n^7]
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