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If i(m - 2 , n + 2) = int sin^(m - 2)x c...

If `i_(m - 2 , n + 2) = int sin^(m - 2)x cos^(n+2)x dx` and `I_(m,n) = - (sin^(m-1)x cos^(n + 1)x)/(n + 1) + f(m , n) I_(m -2, n + 2)`, then f(2,3) is equal to

A

44198

B

44199

C

44200

D

44201

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The correct Answer is:
C
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PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
  1. Let f(x) = 3/( 3x^2 + 9) and g(x)=x^2/( 3x^2 + 9) int (f(x) + g(x)) ...

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  2. Let f(x) = 3/( 3x^2 - 9) and g(x)=x^2/( 3x^2 - 9) int (g(x) - f(x)) ...

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  3. If i(m - 2 , n + 2) = int sin^(m - 2)x cos^(n+2)x dx and I(m,n) = - (s...

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  4. If In = int x sin^n x dx and In = -(x sin^(n-1)x cos x)/n + (sin^n x)/...

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  5. Match List - I with List-II Let the functions defined in List - I ha...

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  6. Match List - I with List-II Let the functions defined in List - I ha...

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  7. If int xdx/sqrt(7x - 10 - x^2)^3 = (lambda(7x - 20))/sqrt(7x - 10 - x^...

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  8. If int dx/(1 + sin x) = tan(x/2 + a) + b then the value of -(16a)/pi m...

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  9. If int sin^-1 ((2x + 2)/sqrt(4x^2 + 8x + 13)) dx = (x + 1) tan^-1 ((2x...

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  10. If int (x^9 + x^6 + x^3)(2x^6 + 3x^3 + 6)^(1/3) dx = 1/a (2x^9 + 3x^6 ...

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  11. If int (sqrttanx + sqrtcotx) dx = a tan^-1 ((tan x - 1)/sqrt(b tan x))...

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  12. Evaluate : int dx/(7x - 10 - x^2)

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  13. Evaluate : int (xdx)/sqrt(1+x^4)

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  14. Evaluate : int dx/(sqrte^(5x) cdot root(4)(e^(2x) + e^(-2x))^3)

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  15. Evaluate : int0^log5(e^x(e^x-1)^(1/2))/(e^x+3)dx

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  16. Evaluate : int1^2 (e^(x^2))dx=a, then find the value of inte^(e^4)root...

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  17. int 1/(sin (x-a) cos(x-b)) dx

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  18. The value of int0^3[x]dx, where [x] is greatest integer function is......

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  19. Evaluate: int x^2 sin x dx

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  20. Evaluate : int root (3)(tanx) dx

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