Algebraic Integrals of Inverse Trigonometric Functions Flashcards Preview

AP Calculus AB > Algebraic Integrals of Inverse Trigonometric Functions > Flashcards

Flashcards in Algebraic Integrals of Inverse Trigonometric Functions Deck (12):
1

∫arcsin dx

x arcsin(x) +√1-x²) +c

2

∫arccos(x) dx

x arccos(x) - √1-x²)+c

3

∫arctan(x) dx

x arctan(x) - ½ ln |x²+1| +c

x arctan(x) - ln √x²+1) +c

4

∫arccot(x) dx

x arccot(x) + ½ln |x²+1| +c

x arccot(x) + ln √x²+1) +c

5

∫arcsec(x) dx

x arcsec(x) - sgn(x) ln| x+√x²-1)| +c

6

∫arccsc(x) dx

x arccsc(x) + sgn(x) ln| x+√x²-1)| +c

7

x arcsin(x) +√1-x²) +c

∫arcsin dx

8

x arccos(x) - √1-x²)+c

∫arccos(x) dx

9

x arctan(x) - ½ ln |x²+1| +c

x arctan(x) - ln √x²+1) +c

∫arctan(x) dx

10

x arccot(x) + ½ln |x²+1| +c

x arccot(x) + ln √x²+1) +c

∫arccot(x) dx

11

x arcsec(x) - sgn(x) ln| x+√x²-1)| +c

∫arcsec(x) dx

12

x arccsc(x) + sgn(x) ln| x+√x²-1)| +c

∫arccsc(x) dx