Question

Do I use dx or dy for this?

Let R be the region bounded by the y-axis and the curves y = sin x and y = cos x. Find the exact area of R.

Answer 1

using dy is the worst thing to do here

Answer 2

Here's the graph

Answer 3

use dx

Answer 4

It is, right? So do i integrate from 0 to pi/4?

Answer 5

yup!

Answer 6

wat about the integrand ?

Answer 7

(cos x - sin x) dx?

Answer 8

\(\large \color{red}{\checkmark}\)

Answer 9

Ohhh thank you thank you!!

Answer 10

np :)

Answer 11

@ganeshie8 Sorry to call to you again, but would you mind checking on just one more thing for me?

Answer 12

If asked to find volume, revolved about the x-axis, would this be correct?
limit: [pi to 0]
integrand: [cos x]^2 - [sin x]^2 dx?

Answer 13

oops, i meant pi/4 to 0...

Answer 14

Yes ! oly thing is pieee is missing

Answer 15

where do you mean, in the integrand?

Answer 16

u meant

limit: [0 to pi/4]
integrand: pi ( [cos x]^2 - [sin x]^2) dx

right ?

Answer 17

oh hahaha yes!

Answer 18

Thank you again, you saved my life today!

Answer 19

u wlc ! :))