# How do you integrate #int (1+3t)t^2dt#?

The answer is

So,

By signing up, you agree to our Terms of Service and Privacy Policy

To integrate the expression ∫ (1 + 3t) * t^2 dt, you can expand the expression inside the integral and then integrate each term separately. Here's how you can do it:

∫ (1 + 3t) * t^2 dt = ∫ (t^2 + 3t^3) dt = ∫ t^2 dt + ∫ 3t^3 dt

Now, integrate each term: ∫ t^2 dt = (1/3) * t^3 + C1 ∫ 3t^3 dt = (3/4) * t^4 + C2

Combine the results: = (1/3) * t^3 + (3/4) * t^4 + C

Where C is the constant of integration.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7