Question

Question #37132

Answer 1

`-156x+C`

Explanation:

Rule for integration of Polynomial is
`intx^n dx=x^(n+1)/(n+1)+C`

To finds the integration of Constant value like `a`
`int(a) dx=?`

Now we can Write `a` as `axx1` because the value of constant doesn't change if we multiply with 1
`int(axx1) dx`
We can bring out constant `a` from integration
`aint(1) dx`

Now we know that `x^0=1`
Zeroth power of any term will equal to one.

`aint(x^0) dx`

Now apply Rule of Integration for Polynomials `intx^n dx=x^(n+1)/(n+1)+C`
we get

`aint(x^0) dx=ax^(0+1)/(0+1)+C`
`=ax^1+C`
`=ax+C`

Hence
`inta dx=ax+C`

or
`int-156 dx=-156x+C`

C is the constant of Indefinite integration.

Hope you learn how can we integrate constant term.