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If f(a+b-x) = f(x), then inta^b x f(x) d...

If `f(a+b-x) = f(x)`, then `int_a^b x f(x) dx` is equal to:

A

`((a+b)/2)int_a^b f(b-x)dx`

B

((a+b)/2)int_a^b f(b+x)dx

C

((b-a)/2)int_a^b f(x)dx

D

((a+b)/2)int_a^b f(x)dx

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PSEB-INTEGRALS-Exercise
  1. Evaluate the definite integral: int(pi/2)^pi e^x ((1-sinx)/(1-cosx))dx

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  2. Evaluate the definite integral: int0^(pi/4) (sinxcosx)/(cos^4x+sin^4x)...

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  3. Evaluate the definite integral: int0^(pi/2) (cos^2x)/(cos^2x+4sin^2x)d...

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  4. Evaluate the definite integral: int(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2...

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  5. Evaluate the definite integral: int0^1 (dx)/(sqrt(1+x)-sqrtx)dx

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  6. Evaluate the definite integral: int0^(pi/4) (sinx+cosx)/(9+16sin2x)dx

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  7. Evaluate the definite integral: int0^(pi/2) (sin2xtan^(-1)(sinx))dx

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  8. Evaluate the definite integral: int0^(pi) (xtanx)/(secx+tanx)dx

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  9. Evaluate the definite integral: int1^4 (|x-1|+|x-2|+|x-3|)dx

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  10. int1^3 (dx)/(x^2(x+1)) = (2/3)+log(2/3) ਪ੍ਰਮਾਣਿਤ ਕਰੋ।

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  11. Prove the following: int0^1 (xe^x) = 1

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  12. Prove the following: int-1^1 (x^17cos^4x dx) = 0

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  13. int0^(pi/2) (sin^3x)dx = 2/3 ਪ੍ਰਮਾਣਿਤ ਕਰੋ।

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  14. Prove the following: int0^(pi/4) (2tan^3x)dx = 1-log2

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  15. Prove the following: int0^1 (sin^(-1)x)dx = (pi/2)-1

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  16. Evaluate int0^2 e^(3x) dx as the limit of sums.

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  17. int (dx)/(e^x+e^(-x)) is equal to:

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  18. int ((cos2x)/(sinx+cosx)^2) dx is equal to:

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  19. If f(a+b-x) = f(x), then inta^b x f(x) dx is equal to:

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  20. The value of int0^1 tan^(-1) ((2x-1)/(1+x-x^2))dx is:

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