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The value of l = int (-pi//2)^(pi//2) | ...

The value of `l = int _(-pi//2)^(pi//2) | sin x | dx ` is

A

0

B

2

C

`-2`

D

`-2 lt l lt2`

Text Solution

Verified by Experts

The correct Answer is:
B
` int _(-pi/2)^(pi/2) |sin x| dx =n 2x = 2 int _(0)^(pi//2) sin x dx = -2 [ cos x] _(0)^(pi/2)`
` = - 2(cos.pi/2 - cos 0) = 2 `
` :. int _(0)^(2a) f(x) dx = int _(0)^(a) [ f(2a - x) + f(x)] dx`
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  10. The value of int (0)^(pi//2) log ("cosec "x) dx is

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  11. Which of the following is true ?

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  12. int(0)^(5) 1/((x-1)(x-2))dx is equal to

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  13. int(pi/4)^(pi/2) e^x(logsinx+cotx)dx

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  14. The value of int(0)^(pi) x sin^(3) x dx is

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  15. The value of int0 ^(pi/2) (cos3x+1)/(cosx - 1) dx is equal to

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  16. The value of underset(0)overset(1)int tan^(-1) ((2x-1)/(1+x-x^(2)))dx ...

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  17. If f is a continous function, then

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  18. The value of int(-pi)^(pi) sin^(3) x cos^(2) x dx is equal to

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  19. The value of int(-1)^(1) log ((x-1)/(x+1))dx is

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  21. int (1)^(2)e^(x) (1/x - 1/(x^(2)))dx is qual to

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