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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

(a)4

B

(b)8

C

(c)`(32)/(3)`

D

(d)16

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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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  7. Let F:RtoR be a thrice differntiable function. Suppose that F(1)=0,F(3...

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  13. Find x+y+z

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  15. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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  16. The value of int(In2)^(In3) (x sinx)dx is

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  17. Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int1...

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

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  19. For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^...

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