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The value of the integral int(0)^(1) x(...

The value of the integral `int_(0)^(1) x(1-x)^(n)dx` is -

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AAKASH INSTITUTE-INTEGRALS-Competition level Questions
  1. The value of int(0)^(pi//2)logsinxdx is equal to

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  2. If f(x)={(e^(cosx)sinx, |x|le2),(2, otherwise):} then int-2^3f(x)dx= (...

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  3. The value of int(0)^(2//3)(dx)/(4+9x^(2)) is equal to

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  4. The value of int(log1//2)^(log2)sin{(e^(x)-1)/(e^(x)+1)}dx is equal to

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  5. int0^1 sqrt((1-x)/(1+x)) dx

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  6. The value of int(0)^(pi//2)(cosxdx)/(1+cosx+sinx) is equal to

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  7. If l(1)=int(0)^(npi)f(|cosx|)dx and l(2)=int(0)^(5pi)f(|cosx|)dx, then

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  8. Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2...

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  9. The value of int(-pi//2)^(pi//2)(1)/(e^(sinx)+1) dx is equal to

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  10. If a gt 0, then the value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx is e...

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  11. The value of int(1)^(2) (dx)/(x(1+x^(4)) is

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  12. The value of underset(0)overset(pi//2)int logtan xdx, is

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  13. The value of int(-2)^(2)|1-x^(2)|dx is equal to

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  14. int(0)^(pi/2) |sinx - cosx |dx is equal to

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  15. int(0)^(pi)|cosx|dx=?

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  16. The value of the integral int(0)^(1) x(1-x)^(n)dx is -

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  17. The value of the integral int1^5 (|x-3|+|1-x|) dx is equal to

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  18. To find the numberical value of overset(2)underset(-2)int (px^(3)+qx+8...

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  19. The value of the integral underset(e^(-1))overset(e^(2))int |(log(e)x)...

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  20. l(n)=int(0)^(pi//4)tan^(n)xdx, then lim(nto oo)n[l(n)+l(n-2)] equals

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