Help with one integral problem?

Step-by-step explanation:

To integrate means to find the antiderivative of the function. For this problem, we can use u-substitution.

Let's first use our identities to rewrite the function. Since , we can use this identity.

Now that we have u and du, we can plug them back in.

Since we know u, we can plug that in.

This may seem like the correct answer, but we forgot to add the constant.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

both equations and proportions are better.