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Evaluation of definite integrals by subs...

Evaluation of definite integrals by subsitiution and properties of its :
If `f(a+b+1-x)=f(x)AAx` where a and b are fixed positive real numbers, then `(1)/(a+b)int_(a)^(b)x(f(x)+f(x+1)dx=` is equal to

A

`int_(a-1)^(b-1)f(x)dx`

B

`int_(a+1)^(b+1)f(x+1)dx`

C

`int_(a-1)^(b-1)f(x+1)dx`

D

`int_(a+1)^(b+1)f(x)dx`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
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  13. Evaluation of definite integrals by subsitiution and properties of its...

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  14. int(-1)^( sqrt3) (dx)/( 1+x^2) = …...... .

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