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If int(-pi//4)^(3pi//4)(e^(pi//4)dx)/((e...

If `int_(-pi//4)^(3pi//4)(e^(pi//4)dx)/((e^(x)+e^(pi//4))(sinx+cosx))=kint_(-pi//2)^(pi//2)secxdx`, then the value of k is

A

`(1)/(2)`

B

`(1)/(sqrt(2))`

C

`(1)/(2sqrt(2))`

D

`-(1)/(sqrt(2))`

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FIITJEE-DEFINITE INTEGRAL -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
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  19. Let f(x)=int(1)^(x)t(t^(2)-3t+2)dt,1lexle4. Then the range of f (x) is

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