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if f(x)=|x-1| then int(0)^(2)f(x)dx is...

if `f(x)=|x-1|` then `int_(0)^(2)f(x)dx` is

A

1

B

0

C

2

D

-2

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A
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A continous function f(x) is such that f(3x)=2f(x), AA x in R . If int_(0)^(1)f(x)dx=1, then int_(1)^(3)f(x)dx is equal to

If f(2-x)=f(2+x),f(4+x)=f(4-x) and int_(0)^(2)f(x)dx=5 then int_(0)^(50)f(x)dx is

If f(2-x)=f(2+x) and f(4-x)=f(4+x) for all x and f(x) is a function for which int_(0)^(2)f(x)dx=5, then int_(0)^(50)f(x)dx is equal to 125 (b) int_(-4)^(46)f(x)dx int_(1)^(51)f(x)dx(d)int_(2)^(52)f(x)dx

Let f(x) and g(x) be any two continuous function in the interval [0, b] and 'a' be any point between 0 and b. Which satisfy the following conditions : f(x)=f(a-x), g(x)+g(a-x)=3, f(a+b-x)=f(x) . Also int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx, int_(a)^(b)f(x)dx=int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx If int_(0)^(a//2)f(x)dx=p," then "int_(0)^(a)f(x)dx is equal to

TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. If int(-1) ^(4) f(x) dx=4and int(2)^(4) (3-f(x))dx=7, then int(-1) ^...

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  2. Ifg(x)= int(0)^(x) cos 4t dt, "then " g (x+pi) equals

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  3. if f(x)=|x-1| then int(0)^(2)f(x)dx is

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  4. int- 5^5|x+2|dx

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  5. If f(x)=int(-1)^(x)|t|dt, then for any x ge0,f(x) is equal to

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  6. int(0)^(1)|3x-1|dx=

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  7. int-2^2 |1-x^2|dx= (A) 4 (B) 2 (C) -2 (D) 0

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  8. The value of int(0)^(1)x|x-1/2|dx is

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  9. int(0)^(100pi)|cosx|dx=…………………………..

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  10. int(0)^(pi//2) abs(sinx-cosx) dx=

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  11. The integral int(0)^(pi)sqrt(1+4"sin"^2(x)/(2)-4"sin"(x)/(2)) dx is e...

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  12. If I=int(1/ e)^e|logx|(dx)/(x^2) ,then I equals (A) 2 (B) 2...

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  13. int(0) ^(3) [x] dx= where [x] is greatest integer function

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  14. Let f(x) = x-[x], for every real number x, where [x] is integral part ...

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  15. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

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  16. The value of int0^9[sqrt(x)+2]dx, where [.] is the greatest integer fu...

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  17. If for all real numbers y ,[y] is the greatest integer less than or eq...

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  18. int(0)^((pi)/2)(x-[cosx])dx= (where [t]= greatest integer less or eq...

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  19. The value of int(1)^(a)[x]f'(x)dx, where agt1, and [x] denotes the gre...

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  20. If [x] denotes the greatest integer less than or equal to x then the v...

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