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The integral underset(0)overset(a)int (g...

The integral `underset(0)overset(a)int (g(x))/(f(x)+f(a-x))dx` vanishes, if

A

g(x) is an odd function

B

`f(x)=f(a-x)`

C

`g(x)=-g(a-x)`

D

`f(a-x)=g(x)`

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
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  9. int(-pi//2)^(pi//2)(sin^(2)x.cos^(2)x(sin x+cos x))dx=

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  10. If : int(ln 2)^(x)(1)/(sqrt(e^(t)-1))dt=(pi)/(6), then : x =

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  11. int(0)^(pi//2)sin x.cos x. sqrt(a^(2).sin^(2)x+b^(2).cos^(2)x)dx=

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  12. If int0^oo (x^2 \ dx)/((x^2+a^2)(x^2+b^2)(x^2+c^2)) = pi/(2(a+b)(b+c)(...

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  13. int(0)^(2) (2x-2)/(2x-x^(2)) dx is equal to

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  14. int(1)^(e^(99))(sin(pi.ln x))/(x)dx=

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  15. Evaluate : lim(n-> oo) (1^4+2^4+3^4+...+n^4)/n^5 - lim(n->oo) (1^3+2^3...

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  17. The value of int(8 log(1+x))/(1+x^(2)) dx is

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  18. Find lim(ntooo)(1/(n+1)+1/(n+2)+...+1/(6n))

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  19. (x.sin^(-1)x^(2))/(sqrt(1-x^(4)))

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  20. overset(2pi) underset(0)int(xsin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx,n gt 0...

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