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To integrate (32/ x³ + bx) over x we can integrate each part separately. This is because addition of two integrals is the same as integrating the total of the elements. 

So we integrate ...

Answer:  (X+5)(X+2)=0   X=-5 or -2 We first look for to numbers that multiply together to make 10 (1 and 10, 2 and 5 are the only pairs)  We choose the pair which also adds together to the 2nd term, 7. We...

The discriminant for a quadratic polynomial of the form f(x) = ax^2 + bx + c is given by b^2 - 4ac. If the discriminant is strictly greater than 2, the quadratic has 2 real distinct roots, i.e 2 unique x-...

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next...

Le mie vacanze di Natale non sono state particolarmente emozionanti. Alla mia famiglia piace rispettare le tradizioni, quindi ho passato la vigilia coi miei nonni paterni e il giorno di natale con la nonn...