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The valueof integral int(0)^(4) |x -1|d...

The valueof integral ` int_(0)^(4) |x -1|dx` is

A

4

B

5

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
B
`int_(0)^(4) |x-1| dx = int_(0)^(1) (1-x)dx + int_(1)^(4) (x-1)dx`
`[ x-x^(2)/2]^(1) + [ x^(2)/2 -x]^(4)`
` = 1- 1/2 + [ 8 -4-(1/2 -1)]`
` 1/2 + 4 + 1/2 = 5`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 01-Paper 2 (Mathematics)
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  4. lim(n to oo) 1/n sum(r=1)^(2n) r/(sqrt(n^(2)+r^(2))) equals

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  9. Which of the term is not used in a linear programming problem ?

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  13. int(0)^(pi//2) (dx)/(1+root(3)(tanx)) is equal to

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