# Integration by substitution indefinite integral 5

## Homework Statement

indefinite integral 5$$\pi$$cos$$\pi$$t

## The Attempt at a Solution

5$$\pi$$ int cos$$\pi$$t

Substitution Method

5$$\pi$$ x sin (1/$$\pi$$t

Mark44
Mentor

## Homework Statement

indefinite integral 5$$\pi$$cos$$\pi$$t

## The Attempt at a Solution

5$$\pi$$ int cos$$\pi$$t

Substitution Method

5$$\pi$$ x sin (1/$$\pi$$t
$$\int 5 \pi cos(\pi t)dt$$
Click the integral above to see how the LaTeX looks.

A reasonable substitution would be u = $\pi t$, so du = $\pi dt$.
Can you take it from there?

$$5 \pi sin(u)du$$

$$5 \pi sin(u) x du/ \pi$$

$$5sin(\pi t)$$

Mark44
Mentor

What is the first line supposed to mean?
How did you get from the first line to the second?
How did you get from the second line to the third?
Are any of these expressions related to each other in any way?
Since this is an integration problem, one would think there should be an integral sign somewhere.