Find all the antiderivatives of the following function. Check your work by taking derivatives. f(x)=5x^{4}

Joni Kenny

Joni Kenny

Answered question

2021-03-22

Find all the antiderivatives of the following function. Check your work by taking derivatives.
f(x)=5x4

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2021-03-24Added 100 answers

Step 1
We find the antiderivative of f(x).
f(x)dx
=5x4dx
=5x4dx
=5(x55)+C
=x5+C
C=integrating constant
Step 2
Then we check by taking derivative of the answer
ddx(x5+C)=5x4 [Proved]
Answer: x5+C

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