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qaws [65]
3 years ago
13

Please help!!!

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0
1)51 2)91 3)79 :)))))0
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<span>triangle abc is similar to triangle def
</span>
m<b = m<e = 25
so
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answer:

<span>measure of angle a= 45 degrees</span>
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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)}

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

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Comparing the above term to the left hand side, we can see that

(A + B)x = 4x

A + 3B = 0

Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes

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

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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