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Let f, R to R and g : R to R be contino...

Let f, `R to R and g : R to R` be continous functions . Then the value of the integral ` int _(-pi//2)^(pi//2) [ f(x) + f( -x) ] [ g(x) - g (-x) ] dx ` is

A

`pi`

B

1

C

`-1`

D

0

लिखित उत्तर

Verified by Experts

The correct Answer is:
D
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KC SINHA-निश्चित समाकलों के गुणधर्म -OBJECTIVE QUESTIONS
  1. Let f(x) = x - [x] , for every real number x, where [ x] is the integr...

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  2. int (-pi)^(pi) (cos^(2)x)/(1+a^(x)) dx, a gt 0

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  3. Let f, R to R and g : R to R be continous functions . Then the value...

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  4. The value of int (-1)^(2) (|x|)/x dx is

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  5. int (0)^(pi) sqrt((1+cos 2 x)/2) dx is

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  6. For any integar n, the integral int (0)^(pi) e^(sin ^(2)x) . cos^(3)...

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  7. ज्ञात करे । int (pi//4)^(3pi//4) (phi)/(1+sin phi) d phi =

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  8. निम्नलिखित समाकलन का मान निकाले int (0)^(pi//2) (dx)/(1+tan^(3) x )

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  9. int (-1//2)^(1//2) cos x log ((1+x)/(1-x)) dx =

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  10. The value of the integral int (0)^(pi//2) | cos x - sin x | dx is

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

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  12. The value of the integral int (0)^(pi//2) (sqrt(cos x))/(sqrt(cosx)+ ...

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  13. The value of int (-pi//2)^(pi//2) sqrt((1-cos 2theta )/2 ) d theta ...

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  14. int (-pi//2)^(pi//2) sin^(2) x cos^(2) x ( sin x + cos x ) dx =

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  15. int (-1)^(1) | 1- x| dx =

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  16. int (0)^(pi//2) 1/(1+tan theta ) d theta =

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  17. int (-1)^(2) x| x | dx के बराबर है

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  18. निम्न समाकलन का मान int (-2)^(2) (ax^(3) + bx + c) dx निर्भर करेगा

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  19. पूर्णांक n के लिए, समाकलन int (0)^(pi) e^(cos^(2) x) cos^(3) (2n+1...

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  20. ज्ञात करे । int (-pi//2)^(pi//2) log ((2-sin x)/(2+sin x)) dx

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