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f:(0,infty)rarrR and F(x)=int(0)^(x)t f(...

`f:(0,infty)rarrR and F(x)=int_(0)^(x)t f(t)dt`
If `F(x^(2))=x^(4)+x^(5),"then" Sigma_(r=1)^(12)f(r^(2))` is equal to S

A

216

B

219

C

221

D

223

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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  16. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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  19. The value of int(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2)) dx is (are)

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  20. For a in R ( the set of all real number) , a ne -1, lim(n to oo)((1^...

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  21. Consider the statements : P : There exists some x IR such that f(x)...

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