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Use the idea of odd and even function to...

Use the idea of odd and even function to evaluate `int_(-1)^1 x(1-x^2) dx`

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MAHAVEER PUBLICATION-DEFINITE INTEGRAL-QUESTION BANK
  1. Evaluate int0^pi x^2 sinx dx

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  2. int0^(pi/2)sin^2xdx =

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  3. Use the idea of odd and even function to evaluate int(-1)^1 x(1-x^2) d...

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  4. Using the properties of definite integral,show that int0^(pi/2) log ta...

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  5. Evaluate: int0^pi(xsinx)/(1+cos^2x)dx

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  6. int(0)^(pi)(x tanx)/(secx+cosx)dx is

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  7. The value of int(0)^( pi/2)(sqrt(cos x))/(sqrt(sin x)+sqrt(cos x))dx

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  8. int(pi/3)^(pi/6)(dx)/(1+sqrttanx)

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  9. Evaluate int0^(pi/2) sinx/(sinx + cosx) dx

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  10. Evaluate: int0^pi x/(a^2cos^2x+b^2sin^2x)dx

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  11. Evaluate lim(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]

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  12. lim(n->oo)1/n[tan (pi/(4n))+tan((2 pi)/(4n))+...tan((npi)/(4n))]

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  13. Evaluate lim(nrarroo) [1/(n+k) + 1/(n+2k) + 1/(n+3k) +…+ 1/(n+nk)]

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  14. Evaluate lim(nrarroo) n [1/(n^2+1^2) + 1/(n^2+2^2) + 1/(n^2+3^2) +…+ 1...

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  15. lim(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]

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  16. Evaluate lim(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]

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  17. Evaluate lim(nrarroo) [(1^6 + 2^6 + 3^6…..+n^6)/n^7]

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  18. Choose the correct Answer of the Following Questions : int(pi/4)^(pi/2...

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  19. Choose the correct Answer of the Following Questions : int0^1 1/(2x-3)...

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  20. Choose the correct Answer of the Following Questions : int1^4 x^(-1/2)...

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