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If f(x) ge 0 for all x in [0,10] and int...

If `f(x) ge 0` for all `x in [0,10]` and `int_0^8 f(x)dx=0` then f(7) is

A

0

B

1

C

7

D

10

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A
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  2. let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in...

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  3. If f(x) ge 0 for all x in [0,10] and int0^8 f(x)dx=0 then f(7) is

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  4. ifint0^f(x) tdt=pic os pix then f(4) is equal to

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  5. if In=int0^(pi/4)tan^ntheta.d theta,then n in N,n(I(n-1)+I(n+1)) equal...

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  6. int0^(pi/4)sinxd(x-[x]) is equal to

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  7. The value of int0^(sin^2x)sin^(-1)(sqrtt)dt+int0^(cos^2x)cos^(-1)(sqrt...

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  8. value of underset(nrarrinfty)lim((n !)/n^n)^(1/n),where n inN is equal...

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  9. int(-1)^1 max (2-x,2,1+x)dx is

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  10. The value of int(-1)^2abs([x]-{x})dx where [x] is the greatest integer...

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  11. if I=int0^(1.7)[x^2]dx then I equals

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  12. int(-1)^1(x-abs(2x))dx is equal to

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  13. int0^3(absx+abs(x-1))dxis equal to

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  14. suppose for every integer n, intn^(n+1)f(x)dx=n^2then the value of int...

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  15. Evaluate: underset(nrarrinfty)lim (1/(n+1)+1/(n+2)+....+1/(2n))

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  16. The value of int 0^(2npi)[sin x+cosx]dx is equal to

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  17. the value ofint (pi/2)^(3pi/2)[2sinx]dx, is [.] greatest integer funct...

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  18. ifint0^1 f(x)dx=1,int0^1 xf(x)dx=a and int0^1 x^2f(x)dx=a^2 ,then int0...

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  19. if f(x)=-int0^xlog(cost)dt, then the value of f(x)-2f(pi/4+x/2)+2f(pi/...

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  20. if int0^(pi)(x/(1+sinx))^2dx=A, then int0^(pi)((2x^2).(cos^2(x/2)))/(1...

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