Solving Formulas with Odd/Even Conditions - Math Homework

In summary, to determine if a number is odd or even, you can use the divisibility rules. When solving a formula with odd/even conditions, use odd numbers for variables in the odd condition and even numbers for variables in the even condition. Decimals and fractions can also be used, following the same rules. If a formula has both odd and even conditions, a combination of odd and even numbers should be used. There are no shortcuts or tricks for solving these formulas, so careful attention to the rules and substitutions is necessary.
  • #1
aspiring_gal
9
0

Homework Equations



integral 0 to pi/2 ((cos^n)x dx),
integral 0 to pi/2 ((sin^m)x dx),
integral 0 to pi/2 ((sin^m)x * (cos^n)x dx),
condition: when m,n odd; m,n even , m even n odd n so on...

The Attempt at a Solution



ans hints:

(m-1)/(m+n) * (m-3)/(m+n-2) ....
 
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  • #2
You omitted section 1, the description of the problem, and in section 2, "Relevant equations" you don't show a single equation.

What exactly is the problem you want to work?
 

1. How do I determine if a number is odd or even?

To determine if a number is odd or even, you can use the divisibility rules. If a number is divisible by 2, it is even. If a number is not divisible by 2, it is odd.

2. How do I solve a formula with odd/even conditions?

To solve a formula with odd/even conditions, you can follow the same steps as solving a regular formula. However, when substituting values into the formula, make sure to use odd numbers for variables that are in the odd condition and even numbers for variables in the even condition.

3. Can I use decimals or fractions in a formula with odd/even conditions?

Yes, you can use decimals or fractions in a formula with odd/even conditions. Just make sure to follow the same rules as using whole numbers, where odd numbers are used for odd conditions and even numbers are used for even conditions.

4. What if a formula has both odd and even conditions?

If a formula has both odd and even conditions, you will need to use a combination of odd and even numbers when substituting values into the formula. For example, if a variable is in an odd condition, use an odd number, and if it is in an even condition, use an even number.

5. Are there any shortcuts or tricks to solving formulas with odd/even conditions?

There are no specific shortcuts or tricks to solving formulas with odd/even conditions. It is important to carefully follow the rules for using odd and even numbers and double check your substitutions to ensure they align with the conditions given in the formula.

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