Question

Integration of the following function

Answer 1

Answer: None of the above

Explanation:

Given

`\frac{\mathrm{d} \bar{c}}{\mathrm{d} x}=-6x^(-2)+(1)/(6)`

`d\bar{c}=\left ( -6x^(-2)+(1)/(6)\right )dx`

Now, integrating both sides

`\int d\bar{c}=\int \left ( -6x^(-2)+(1)/(6)\right )dx`

`\bar{c}=-6(x^(-2+1))/(-2+1)+(1)/(6)x+k_1`

`\bar{c}=6x^(-1)+(1)/(6)x+k_1`