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The interval [0,4] isdivided into n equa...

The interval `[0,4]` isdivided into n equal sub-intervals by the points `x_(0),x_(1),x_(2),…,x_(n-1),x_(n)"where" 0=x_(0)ltx_(1)ltx_(2)ltx_(3)lt…ltx_(n)=4`
If`deltax=x_(i)-x_(i-1)"for"i=1,2,3,...,n, "then"lim_(deltaxrarr0)sum_(i-1)^(n)x_(i)deltax` is equal to

A

4

B

8

C

`(32)/(3)`

D

16

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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  8. Let F : R to R be a thrice differentiable function . Suppose that F(...

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  9. Let f: RvecR be a function defined by f(x)={[x],xlt=2 0,x >2 where [...

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  15. The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dxi s

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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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  17. The value of int(sqrt(ln2))^(sqrt(ln3)) (xsinx^2)/(sinx^2+sin(ln6-x^2)...

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  18. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

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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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