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int(0)^(10)|x(x-1)(x-2)|dx is equal to...

`int_(0)^(10)|x(x-1)(x-2)|dx` is equal to

A

160.05

B

1600.5

C

16.005

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`int_(0)^(10)|x(x-1)(x-2)|dx`
`=int_(0)^(1)(x^(3)-3x^(2)+2x)+int_(1)^(2)(-x^(3)+3x^(2)-2x)dx+int_(2)^(10)(x^(3)-3x^(2)+2x)dx`
`=[(x^(4))/(4)-x^(3)+x^(2)]_(0)^(1)+[-(x^(4))/(4)+x^(3)-x^(2)]_(1)^(2)+[(x^(4))/(4)-x^(3)+x^(2)]_(2)^(10)=1600.5`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 14-Paper 2 (Mathematics)
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  8. The shaded region for the inequality x+5yle6 is

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  10. Let [x] denotes the greatest integer less than or equal to x. If f(x) ...

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  15. Area of the region bounded by the curves y=2^(x),y=2x-x^(2),x=0" and "...

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  16. The equation of plane passing through a point A(2, -1, 3) and parallel...

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  17. Show that the disease of the point of intersection of the line (x-2)/3...

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  18. If |A|=3,|B|=4,|C|=5" and "a,b,c are such that each is perpendicular t...

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  19. If a, b, c are three unit vectors such that a+b+c=0. Where 0 is null v...

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  20. a.hati=a.(2hati+hatj)=a.(hati+hatj+3hatk)=1, then a is equal to

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