Definite Integral Test Question Video Example
Raw Transcript
Hello everyone. Tom from come everystep calculus.com and
everystepphysics.com
I’m gonna do it Definite Integral for you.
this came up on my Facebook and I want to answer it here in a video.
Let’s get started. Index 8 to go to my menu.
We’re going to scroll down to Definite Integral. It’s all alphabetical so it
should be in D’s here
and here’s Definite Integral.
And we’re going to enter the function. You have to press Alpha before you enter anything
into these entry lines here.
parentheses one
plus cosine
of two times x,
and close of the main parentheses,
divided by two. I always show you what you’ve entered. You can change it if you want.
I say it’s okay. Now we’re going to enter
the range. At a range of, the lower limit was
was alpha 0
and the upper limit was
alpa pi
divided by two. Again I show you, this is the problem that you’re asking
and was asked.
Now we do the derivative of that which is sin of 2x plus 2x
divided by four and
and pi over two is the upper limit and the lower limit is zero.
We substitute the upper limit for all of x’s.
Here were substituting pi over two for x, pi over two for x.
We come up with pi over four
or approximately .785. Substitute the lower limit
for x. Notice we substitute for x 0
and 0. Here’s 0 and the answer is 0.
So the Definite Integral is this
and we take the upper limit and minus the lower limit.
Pi over four minus 0 answers Pi over four square units or
.785 square units. Remember and integral is
an area under a curve.
So go to my site. Buy my programs if you want to
get help with calculus and subscribe to me also
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or whatever, Thank You.
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