Evaluating Integrals with Matlab for Integration of (sinx)^(y-3)

[sara_87]

Homework Statement

If i want to evaluate the following integral:
$$\int(sinx)^{y-3} dx$$

using Matlab.

Homework Equations

The Attempt at a Solution

i first defined the variables x and y:
syms x
syms y
then i typed the integral;
int(sin(x)^(3-y),x)
but it doesn't give me the integral, it says:
Warning: Explicit integral could not be found.
why?

 

[MATLABdude]

You may want to refer to this thread:
https://www.physicsforums.com/showthread.php?t=229516

EDIT: Also, are you sure that y (as a variable, and not as a constant defined elsewhere) is supposed to be in your equation? You'll need to solve a differential equation, if that is the case.

 

[sara_87]

y is a constant but we are not given the value so the answer should be in terms of y.
i want to integrate:
$$\frac{(cosy)^{2b-3}}{(siny)^{b-1}}$$
but i don't know how to i tried integration by parts repeatedly but it didnt work
so I am trying to use Matlab.
I did:
syms x
syms y
syms b
int((cos(y))^(2b-3)/((sin(y))^(b-1)),x)
but it didnt work.
do you have any ideas how to find this integral analytically or using Matlab?