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int(0)^(1//2) |sin pi x|dx is equal to...

`int_(0)^(1//2) |sin pi x|dx` is equal to

A

0

B

`pi`

C

`-pi`

D

`1//pi`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. If n is an odd natural number, then int(-pi//6)^(pi//6) (pi+4x^(n))/...

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  2. If I(1)=int(0)^(x) e^("zx ")e^(-z^(2))dz and I(2)=int(0)^(x) e^(-z^(2)...

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  3. int(0)^(1//2) |sin pi x|dx is equal to

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  4. If f(x)=int(0)^(x) log ((1-t)/(1+t)) dt, then discuss whether even or ...

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  5. int(1//3)^(3) (1)/(x)sin ((1)/(x)-x)dx is equal to

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  6. If F(x)=int(x^(2))^(x^(3)) log t dt (x gt 0), then F'(x) equals

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  7. If I=int(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

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  8. If I=int(0)^(1) (dx)/(1+x^(4)), then

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  9. The value of int(-1)^(1)(x|x|)dx is equal to

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  10. If int(0)^(pi//2) cos^(n)x sin^(n) x dx=lambda int(0)^(pi//2) sin^(n)x...

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  11. The value of int(1//e )^(e )(|log x|)/(x^(2))dx, is

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  12. int(ac)^(bc)f(x)dx, where c ne 0, is also equal to :

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  13. (d)/(dx)(int(f(x))^(g(x)) phi(t)dt) is equal to

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

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  15. The value of int(0)^(2) | cos ""(pi)/( 2) t|dt is equal to

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  16. If int(0)^(1) cot^(-1)(1-x+x^(2))dx=k int(0)^(1) tan^(-1)x dx, then k=

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  17. If 0 lt a lt 1, then int(-1)^(1) (1)/(sqrt(1-2ax+a^(2)))dx is equal to

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  18. The value of int(0)^(pi//2) (x+sin x)/(1+cos x)dx, is

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  19. If a is a fixed real number such that f(a-x)+f(a+x)=0, then int(0)^(2a...

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  20. The value of int(0)^(pi/2) log((4+3 sin x)/(4+3 cos x))dx, is

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