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Earn +20 ptsQ: Which is the antiderivative of sinxcosx?
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Continue Learning about Algebra
What is the antiderivative of logx?
X(logX-1) + C
What is the antiderivative of square root of x?
(2/3)*x^(3/2)
What is the untiderivative of k to the power of x?
If in the real number universe, first k is to be >0, y=kx = exlog(k) the antiderivative of eax is eax/a so the antiderivative of Y is exlog(k) / log(k) = kx /log(k)
What is the integral of x divided by x plus 1?
x/(x+1) = 1 - 1/(x + 1), so the antiderivative (or indefinite integral) is x + ln |x + 1| + C,
What is the antiderivative of 4 divided by x and why?
∫ 4/x dx= 4 ∫ 1/x dx= 4ln(x) + CThis is true for three reasons:the derivative of the term ln(x) is equal to 1/x4 is a constant factor of the term, and can be moved out of the integralC is an unknown constant, because we're looking at an indefinite integralYou can confirm this by taking the derivative of 4ln(x), which gives you 4/x, the original term.
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