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kvasek [131]
3 years ago
8

Which expression is equal to 4−−√40−3−−√45 ?

Mathematics
1 answer:
gregori [183]3 years ago
6 0
The    Answer:   <span>−30<span>x                    .-. 
 good luck</span></span>
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\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx

Notice that x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1). Decompose the integrand into partial fractions:

\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}
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Integrating term-by-term, you get

\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx
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