Which expression is equivalent to

Mathematics

2 answers:

Charra [1.4K]2 years ago

8 0

X^4

Jdnzusjdnekdjdnkdkelef

anyanavicka [17]2 years ago

5 0

X^ 4, the answer is x^4

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This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

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The steps for solving the integral on the right hand side are presented below.

$\int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c$