Math. 69.104A

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1.Which one of the following functions is an antiderivative of f (x) = (x^x) * ( 1 + ln x ) for x>0 ?

(x^x) * ln x

(x^x) / x

(x^x) + 6

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2.The antiderivative of f (x) = (sin x)^2 differs from the antiderivative of one of the following functions by a constant: Which one ?

2 sin (x) cos (x)

(1 - cos(x))/2

2 sin(x)

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3. Given that the antiderivative of the antiderivative of a function f is given by 3x^4 - sin(x), what is f if we know that f(0)=0??

x^6 + 10sin(x)

36x^2 + sin(x)

36x^2 + sin(x) + 10

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4. Which of the following functions is an antiderivative of 4/x ?

ln(3x^4)

-4/(x^2)

ln(x)

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