vickypenunuri49
Answered

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Can someone answer this please

Can Someone Answer This Please class=

Sagot :

sqdancefan

Answer:

  (a)  12

Step-by-step explanation:

The integral over the reverse range is the opposite of the integral over the forward range. The integral over adjoining ranges is the integral over the whole range.

Application

  [tex]\displaystyle \int_{-1}^5{f(x)}\,dx=\int_{-1}^1{f(x)}\,dx+\int_{1}^5{f(x)}\,dx\\\\=\int_{-1}^1{f(x)}\,dx-\int_{5}^1{f(x)}\,dx=5-1=4[/tex]

Then 3 times the integral is ...

  [tex]\displaystyle 3\int_{-1}^5{f(x)}\,dx=3(4)=\boxed{12}[/tex]

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