1.

If f(x)=sinx+|sinx|andg(x)=f(x-pi)+f(x+2pi), then value of underset(-2pi)overset(5pi)(f)g(x)dx is

Answer»

15
7
12
28

Solution :
`:.""g(x)=F(x-pi)+f(x+2pi)`

`UNDERSET(-2pi)OVERSET(5pi)(f)g(x)dx`
`:."required area"=2[2xx7]=28`.
ALITER : `g(x)=f(x-pi)+f(x+2pi)=(-sinx+|sinx|)+(sinx|sinx|)rArrg(x)=2|sinx|`
`"So,"underset(-2pi)overset(5pi)(f)g(x)dx=28`.


Discussion

No Comment Found

Related InterviewSolutions