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If f(x) satisfies the conditions of Roll...

If f(x) satisfies the conditions of Rolle's theorem in [1,2] and is continuous on [1,2], them`int_(1)^(2) f'(x)` dx is equal to

A

3

B

0

C

1

D

2

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Chapter Test 1
  1. int(0)^(pi) [2sin x]dx=

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  2. int(pi//2)^(3pi//2) [2cos x]dxis equal to

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  3. If f(x) satisfies the conditions of Rolle's theorem in [1,2] and is co...

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  4. For y=f(x)=int(0)^(x) 2|t|dt, the tangent lines parallel to the bi-sec...

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  5. If f(x)=ae^(2x)+be^(x)+cx, satisfies the conditions f(0)=-1, f'(log 2)...

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  6. int pi^(2pi)[sqrt(2)cosx]dx=

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  7. int(0)^(pi//3) [sqrt(3)tanx]dx=

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  8. int(3pi//2)^(5pi//3) [2cos x]dx=

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  9. int(0)^(50pi)os x|dx=

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  10. If a be a positive integer, the number of values of a satisfying int(0...

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  11. The values of 'a' for which int0^(a) (3x^(2)+4x-5)dx lt a^(3)-2 are

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  12. If (-1,2) and and (2,4) are two points on the curve y=f(x) and if g(x)...

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  13. If I(1)=int(1-x)^(k) x sin{x(1-x)}dx and I(2)=int(1-x)^(k) sin{x(1-x)}...

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  14. If int(-pi//3)^(pi//3) ((a)/(3)|tan x|+(b tan x)/(1+sec x)+c)dx=0 wher...

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  15. If x=int(2)^(sint) sin^(-1) theta theta and y=int(n)^(sqrt(t))(sinthe...

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  16. |int(10)^(19) (sin x)/(1+x^(8))dx| is less than

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  17. The smallest interval [a,b] such that int0^(1) (1)/(sqrt(1+x^(4)))dx...

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  18. Let I(n)=int(0)^(pi//2) sin^(n)x dx, nin N. Then

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  19. If f(x)=int(0)^(x) sin^(4)t dt, then f(x+2pi) is equal to

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  20. int(0)^(pi) (1)/(1+3^(cosx)) dx is equal to

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