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3 years ago

How do you do these problems

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

$\cfrac{1}{3} = \cfrac{2}{6} = \cfrac{3}{9} = \cfrac{6}{18}$

$\cfrac{4}{20} = \cfrac{3}{15} = \cfrac{12}{60} = \cfrac{100}{500}$

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shtirl [24]

Division yields

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Now for partial fractions: you're looking for constants a, b, and c such that

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Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

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3 years ago

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Evgen [1.6K]

Joyce waited 50 minutes waiting for the train

Step-by-step explanation:

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