MATH 141 Midterm study guide verified to pass 2025/2026

MATH 141 Midterm study guide verified to pass 2025/2026

1. s+in(x) dx -cos(x) + c

2. c+os(x) dx sin(x) + c

3. s+ec^2 (x) dx tan(x) + C

4. +sec(x)tan(x) dx sec(x)+ c

5. +csc^2(x) dx -cotx + c

6. c+scxcotx dx -csc(x) + C

7. +tan(x) dx ln|sec(x)| + c

8. +sec(x) dx ln|sec(x)+tan(x)| + c

9. +csc(x) dx ln|cscx-cotx|+c or -ln|cscx+cotx|

10. +1/(x^2 + 1) dx arctanx + C

11. +1/sqrt(1-x^2) dx arcsinx + C

12. +-1/sqrt(1-x^2) dx arccosx + C

13. pythagorean identies sin^2 (x) + cos^2 (x) = 1




14. sin(x)cos(y) 1/2[sin(x-y)+sin(x+y)]

15. sin(x)sin(y) 1/2[cos(x-y)-cos(x+y)]

16. cos(x)cos(y) 1/2[cos(x-y)+cos(x+y)]

17. sin^2 (x) (1 - cos 2x) / 2



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