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If int(a)^(b)(f(a+b-x))/(f(x)+f(a+b-x))d...

If `int_(a)^(b)(f(a+b-x))/(f(x)+f(a+b-x))dx=4`, then (a, b) can have the values

A

`(-2, 10)`

B

(10, 18)

C

(8, 0)

D

(10, 14)

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The correct Answer is:
B
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MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
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  2. int(-a)^(a)x^(2)(e^(x^(3))-e^(-x^(3)))/(e^(x^(3))+e^(-x^(3)))dx=

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  3. If int(a)^(b)(f(a+b-x))/(f(x)+f(a+b-x))dx=4, then (a, b) can have the ...

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  4. If f(a+b-x)=f(x), then int(a)^(b)x f(x)dx=

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  5. (1)/(c )int(ac)^(bc)f((x)/(c ))dx=

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  6. int(-2)^(2)(1)/(1+e^(x^(3)))dx=

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  7. If f(x)+f(2-x)=0, then int(0)^(2)(1)/(1+2^(f(x)))dx=

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  8. If f is an odd function and I=int(-a)^(a)(f(sin x))/(f(cos x)+f (sin^...

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  9. If int(-1)^(4)f(x)dx=4 and int(2)^(4)[3-f(x)]dx=7, then int(2)^(-1)f(x...

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  10. int(-1)^(1)(x^(2)+sin x)/(1+x^(2))dx=

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  11. int(-pi//4)^(pi//4)(e^(x)x sin x)/(e^(2x)-1)dx=

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  12. int(0)^(a)[f(x)+f(a-x)]dx=

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  13. If n is an integer, then int(0)^(pi)(sin 2nx)/(sin x)dx=

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  14. If int(0)^(1)(1)/(sqrt(x+1)-sqrt(x))dx=(a(sqrt(2)))/(3), then a =

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  15. If A(x)=int(0)^(x)t^(2) dt, then : A (3) =

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  16. Given int(1)^(5)f=3, int(2)^(6)f=4 and int(5)^(6)f=5. If F' = f and F ...

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  17. If the graph of the function y = f(x) passes through the points (1, 2)...

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  18. int(0)^(1)[(d)/(dx)(sqrt(1+x^(3)))]dx=

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  19. If int(n)^(n+1)f(x)dx = n^(2), where n is an integer, then int(-2)^(4)...

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  20. int(0)^(2pi)e^(sin^(2)nx). tan nx dx =

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