integral rules 1-> memorizing trig rules

What’s the integral of Sin(x)?

-cos (x) + c

What’s the integral of Cos(x)?

Sin(x) + c

What’s the integral of sec²(x)?

tan(x)+c

What’s the integral of sec(x)tan(x)?

Sec(x) + c

What’s the integral of Csc(x)cot(x)?

-Csc(x) + c

What’s the integral of Csc²(x) ?

-cot(x) + c

What’s the integral of tan(x)?

-ln |cos(x)| + c

Whats the integral of cot(x)?

ln |sin(x)| + c

Whats the integral of sec(x)?

ln |sec(x) + tan(x)| + c

Whats the integral of csc(x)?

-ln |csc(x) + cot(x)| + c

What are all the methods to solving integrals that we know of 2/18?

1. factor and then power rule

2. Split up

3. Memorized rule

4. Trig identies/simplofy

5. U-sub : equal u to the denoinator

6. U-sub: equal to why is in exponent

7. For square roots: make u equal to what is inside

8. For anything arcsin: make u equal to arc sin

9. For ln(x): make u equal to it

10. Botno: do long divison, remeber how to do remainder, remainder requires ln |bablabl| + c with the constant in front

11. U sub: make u² equal to sum… this can be be for arc shit or for stuff that is squared

Things u tend to get wrong

1. Remember u can’t pull out an x out of the integral

2. e is a number, ln(x) is a number

3. Distribute

4. Do not have neg exponets in your final answer

5. Remember those rules fr, especially how to deal with un clean arc stuff