- Thread starter tradBohus
- Start date

- Joined
- Dec 30, 2014

- Messages
- 10,568

2ndly, to receive help from this forum we need to know where you need help. It would be best if you show us your work so we can tell you where you went wrong and give you some hints. Please post back.

- Joined
- Nov 12, 2017

- Messages
- 11,538

The chain rule in reverse is substitution; the product rule in reverse is integration by parts. Both will probably be useful. Have you tried either?I am meant to find this antiderivative without a calculator.

View attachment 25915

I know the answer is View attachment 25916.

I know I would need to use the product rule and chain rule "in reverse", just don't know how to go about it.

Any help? Thanks!

You can't just integrate each factor and multiply them together; so why do you think you need to do this? To integrate by parts, you generally choose a "part" that youOf course, thanks for the feedback. I haven't gotten far:

I have integrated the third degree polynomial to be View attachment 25918.

I am stuck at integrating e^{-22+16t}.

- Joined
- Dec 30, 2014

- Messages
- 10,568

Why would you integrate that 3rd degree polynomial? Do you plan on using using by parts. Remember that \(\displaystyle \int f(x)g(x)\neq\int f(x)dx\int g(x)dx.\)Of course, thanks for the feedback. I haven't gotten far:

I have integrated the third degree polynomial to be View attachment 25918.

I am stuck at integrating e^{-22+16t}.

If it did, then integral would have multiple answers since \(\displaystyle \int f(x)dx = \int 1*f(x)dx = \int1dx \int f(x) dx = x\int f(x)dx = x\int 1*f(x)dx = x\int 1dx \int f(x)dx =x^2\int f(x)dx =...\)