Question

Evaluate the integral. 2 (4t i − t3 j + 3t5 k) dt 0

Answer 1

For this case we must follow the following steps:

 1) Separate the integral as the sum of the integrals

 2) Solve the integral for each of the components: i, j, k.

 3) Evaluate the integral for each of the components: i, j, k.

 4) Rewrite the result for each of the components: i, j, k.

 Answer:
 See attached image for the solution and the result.