# Thread: Indefinite integrals and anti derivative

1. ## Indefinite integrals and anti derivative

I wasn't in class this day and I am still clueless after the textbook examples. How do you attack this? Any implicit involved?

2. Originally Posted by Da Freak

I wasn't in class this day and I am still clueless after the textbook examples. How do you attack this? Any implicit involved?

Hint (definition): an antiderivative, sometimes also called primitive function (although they formally are different, but this really doesn't matter now) of a function $f(x)$ is a function $F(x)\,\,\,s.t.\,\,\,F'(x)=f(x)$.

Huge Hint: the primitive function of $x^m$, for ANY real number $-1\neq m\in\mathbb{R}$ is $\frac{x^{m+1}}{m+1}+C$ , where $C$ is an arbitrary constant.

Tonio

Pd. Don't you dare miss classes anymore: at this level it can be as bad as getting lost in the desert.

3. Originally Posted by tonio
Hint (definition): an antiderivative, sometimes also called primitive function (although they formally are different, but this really doesn't matter now) of a function $f(x)$ is a function $F(x)\,\,\,s.t.\,\,\,F'(x)=f(x)$.

Huge Hint: the primitive function of $x^m$, for ANY real number $1\neq m\in\mathbb{R}$ is $\frac{x^{m+1}}{m+1}+C$ , where $C$ is an arbitrary constant.

Tonio

Pd. Don't you dare miss classes anymore: at this level it can be as bad as getting lost in the desert.
I am not following

4. Originally Posted by Da Freak
I am not following

Yes, that may happen when one misses classes. Grab any decent book of calculus and try to read there this material which, on the other hand, is not hard and it is pretty standard.
You can try also to google "indefinite integral", "antiderivative", "primitive function". I bet there are well over 2 million entries for these ones.

Tonio

5. Originally Posted by Da Freak

I wasn't in class this day and I am still clueless after the textbook examples. How do you attack this? Any implicit involved?
Surely somewhere in your textbook is says that the "anti-derivative" of $x^n$ is $\frac{1}{n+1}x^{n+1}$ as long as n is not -1. That's all you need for either of these.