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Nadusha1986 [10]
3 years ago
13

What is the integral of (2x^2+4)/(x^3+4x)

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0
Integral (2x^2+4)/(x^3+4x) dx =
integral (3x^2+4)/(x^3+4x) dx - integral (x^2)/(x^3+4x) dx =
integral d(x^3+4x)/(x^3+4x) -1/2*integral d(x^2+4)/(x^2+4)  =

ln|x^3+4x| -1/2*ln|x^2+4| + C =

ln|x*sqrt(x^2+4)| + C


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What is dy/dx if y = (x2 + 2)3(x3 + 3)2? A. 3(x2 + 2)2(x3 + 3)2 + 2(x2 + 2)2(x3 + 3) B. 2x(x3 + 3)2 + 3x2(x2 + 2)3 C. 6x(x2 + 2)
Vlada [557]
We want to find \displaystyle{  \frac{dy}{dx}, for

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Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:

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Thus,

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3 years ago
SOMEONE PLEASE HELP WILL MARK BRAINLIST
ra1l [238]

Answer:

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2 years ago
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Answer:

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It's pretty simple once you try each problem first

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3 years ago
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