Find all the antiderivatives of the following function. Check your work by taking derivatives. h(z)=-6z^{-7}

remolatg

remolatg

Answered question

2021-03-26

Find all the antiderivatives of the following function. Check your work by taking derivatives.
h(z)=6z7

Answer & Explanation

Nathalie Redfern

Nathalie Redfern

Skilled2021-03-28Added 99 answers

Step 1
To find the antiderivative, we will integrate.
h(z)dz
=6z7dz
=6z7dz
=6z7+17+1+C
=6z66+C
z6+C
=1z6+C
C=integrating constant
Step 2
Then we check it using derivative.
ddz(1z6+C)
=ddz(z6+C)
=6z6+1+0
=6z7
So it shows that the answer is correct.
Answer: 1z6+C

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