Answered

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integrate f(x) dx from 4 to 10 - integrate f(x) dx from 4 to 9 = integrate f(x) dx from a to b

Integrate Fx Dx From 4 To 10 Integrate Fx Dx From 4 To 9 Integrate Fx Dx From A To B class=

Sagot :

Given:

[tex]\int_4^{10}f(x)dx-\int_4^9f(x)dx=\int_a^bf(x)dx[/tex]

Required:

To find the value of a and b.

Explanation:

Consider

[tex]\begin{gathered} \begin{equation*} \int_4^{10}f(x)dx-\int_4^9f(x)dx \end{equation*} \\ \\ =\int_4^{10}f(x)dx-(-\int_9^4f(x)_dx) \\ \\ =\int_4^{10}f(x)dx+\int_9^4f(x)dx \\ \\ =\int_9^{10}f(x)dx \end{gathered}[/tex]

So the values of

[tex]\begin{gathered} a=9 \\ b=10 \end{gathered}[/tex]

Final Answer:

[tex]\begin{gathered} a=9 \\ b=10 \end{gathered}[/tex]

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