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liq [111]
3 years ago
8

I don’t understand this question

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

The product is using FOIL method. FOIL stands for First, Outer, Inner, Last.


Answer is D. FOIL

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Lana71 [14]

Step-by-step Explanation:

We are going to solve this problem using integration by parts. We can write the integrand as

\dfrac{4x}{x^2+4x+3} = \dfrac{4x}{(x+3)(x+1)}

\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{A}{x+3} + \dfrac{B}{x+1}

\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{Ax + A + Bx + 3B}{x^2+4x+3}

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We can now easily integrate this expression as follows:

\displaystyle \int{\dfrac{4x}{x^2+4x+3}}dx = 6\int{\dfrac{dx}{x+3}} - 2\int{\dfrac{dx}{x+1}}

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