1 Answer

Modesto · Answer 1 · 2021-05-19T05:08:21+0000

Answer:

$\int _(-3)^4 R(n)dn =7$

Explanation:

Definite Integrals

One of the properties of the definite integrals called This is called internal addition is:

$\int _a^b f(x)dx=\int _a^c f(x)dx+\int _c^b f(x)dx$

We are required to find

$\int _(-3)^4 R(n)dn$

And we are given:

$\int _(-3)^0 R(n)dn =12$

$\int _(0)^4 R(n)dn =-5$

Thus, applying the internal addition property:

$\int _(-3)^4 R(n)dn =\int _(-3)^0 R(n)dn+\int _(0)^4 R(n)dn$

$\int _(-3)^4 R(n)dn =12-5=7$

$\boxed{\int _(-3)^4 R(n)dn =7}$

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