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STATEMENT 1 : On the interval [(5pi)/4,(...

STATEMENT 1 : On the interval `[(5pi)/4,(4pi)/3]dot` the least value of the function `f(x)=int_((5x)/4)^x(3sint+4cost)dti s0` STATEMENT 2 : If `f(x)` is a decreasing function on the interval `[a , b],` then the least value of `f(x)` is `f(b)dot`

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

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

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

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

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

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  9. 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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  10. If [x] denotes the greatest integer less than or equal to x , then fin...

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

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

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

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

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  18. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to:

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

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