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Evaluate: int0^(10pi)[tan^(-1)x]dx ,w h ...

Evaluate: `int_0^(10pi)[tan^(-1)x]dx ,w h e r e[x]` represents greatest integer function.

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Evaluate: int0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest int...

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  2. STATEMENT 1 : On the interval [(5pi)/4,(4pi)/3]dot the least value of ...

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  3. Evaluate: int0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest ...

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  4. Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AAx ...

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  5. Evaluate: int0^((5pi)/(12))[tanx]dx , where [dot] denotes the grea...

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  6. Consider I1=int0^(pi//4)e^(x^2)dx ,I2=int0^(pi//4)e^x dx ,I3=int0^(pi/...

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  7. Evaluate: int0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest inte...

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  8. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

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  9. if [x] denotes the greatest integer less than or equal to x then integ...

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  10. The value of int0^(2pi)[2sinx]dx ,w h e r e[dot] represents the great...

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  11. f(x)=int1^x(tan^(-1)(t))/t dt \ AAx in R^+, then find the value of f...

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  12. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)])dx , ...

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  13. Find the points of minima for f(x)=int0^x t(t-1)(t-2)dt

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  14. Iff(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4), then find the value of ...

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  15. If g(x)=int0^xcos^4tdt , then g(x+pi) equals (a)g(x)+g(pi) (b) g(...

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  16. Evaluate lim(x to 4)int4^x((4t-f(t)))/((x-4))dt

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  17. Evaluate: int(pi/4)^((3pi)/4)dx/(1+cosx)

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  18. If In=int0^1(1-x^5)^n dx ,t h e n(55)/7(I(10))/(I(11))is equal to

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  19. Let f be a one-to-one continuous function such that f(2)=3 and f(5)=7....

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  20. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

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