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Evaluate: inta^bsinx dx using limit of s...

Evaluate: `int_a^bsinx dx` using limit of sum

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The correct Answer is:
`cos a - cos b`
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

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  2. Evaluate: inta^b e^x dx using limit of sum

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  3. Evaluate: inta^bsinx dx using limit of sum

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  4. lim(n to oo)(1)/(n)(1+sqrt((n)/(n+1))+sqrt((n)/(n+2))+....+sqrt((n)/(4...

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  5. Evaluate lim(n->oo)1/nsum(r=n+1)^(2n)loge(1+r/n)

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  6. The value of lim(n to oo)((1)/(1^(3)+n^(3))+(2^(2))/(2^(3)+n^(3))+.......

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  7. Evaluate : lim(n to oo)[(sqrt(n))/((3+4sqrt(n))^(2))+(sqrt(n))/(sqrt(2...

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  8. lim(n->oo)[1/sqrt(2n-1^2) +1/sqrt(4n-2^2)+1/sqrt(6n-3^2)+...+1/n]

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  9. The value of lim(n to oo)[(n)/(n^(2))+(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(...

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  10. lim(n to oo)((1)/(1+n^(3))+(4)/(8+n^(3))+....+(r^(2))/(r^(3)+n^(3))+.....

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  11. lim(n to oo)[(n+1)/(n^(2)+1^(2))+(n+2)/(n^(2)+2^(2))+....+(1)/(n)]

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  12. underset(nrarroo)("lim")[(1+(1)/(n^(2)))(1+(2^(2))/(n^(2)))"....."(1+(...

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

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  14. IfSn=[1/(1+sqrt(n))+1/(2+sqrt(2n))++1/(n+sqrt(n^2))],t h e n(lim)(n ra...

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  15. The value of lim(n to oo)sum(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :

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  16. The value of lim(n->oo)(sqrt(1)+sqrt(2)+sqrt(3)+.....+sqrt(n))/(nsqrt(...

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  17. Evaluate: ("lim")(nvecoo)[1/(n^2)sec^2 1/(n^2)+2//n^2sec^2 4/(n^2)++1/...

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  18. lim(n to oo)(1)/(n)[tan.(pi)/(4n)+tan.(2pi)/(4n)+…..+tan.(n pi)/(4n)]

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  19. If (d)/(dx)f(x)=g(x) for a le x le b then, overset(b)underset(a)int f...

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  20. If underset(1)overset(x)int(dt)/(|t|sqrt(t^(2)-t)) = (pi)/(6), then x ...

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