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Antiderivatives of Functions Yielding Exponential Functions

3.3
(3 votes)
5 questions
English
Read each question carefully and choose the best answer from the given options. Select the button corresponding to your chosen answer. There is only one correct answer per question.
1

What is the general antiderivative of e^x?

E^x+C

(e^x)/(ln e)+C

E^x/x+C

Xe^x+C

53% got this right

2

Find the antiderivative of ∫7e^x dx

7e^x+C

7Xe^x+C

7x+C

E^x+C

50% got this right

3

What is the correct formula for the antiderivative of 𝑎^𝑥, where 𝑎>0 and 𝑎≠1?

(a^x)/ln a + C

(a^x) + C

(a^x)/ a + C

(e^x)/ln a + C

Hard  30% got this right

4

Find the antiderivative of ∫𝑒^(5𝑥) 𝑑𝑥.

𝑒^(5𝑥)/5 + C

5𝑒^(5𝑥)+ C

𝑒^(5𝑥) + C

𝑒^(5𝑥)/ln 5 + C

Hard  29% got this right

5

What is the antiderivative of ∫3𝑒^(2𝑥)𝑑𝑥?

-3𝑒^(2𝑥)/2 + C

-𝑒^(2𝑥)/3 + C

3𝑒^(-2𝑥)/ ln 2 + C

3𝑒^(2𝑥)/2 + C

38% got this right