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25 Cards in this Set

  • Front
  • Back

The derivative of:
tan⁻¹(x)

1 / (1+x²)

The derivative of:
sin⁻¹(x)

1 / √(1-x²)

The derivative of:
cot⁻¹(x)

-1 / 1+x²
∫ dx / √(a²-x²)
sin⁻¹(x/a) + c
∫ dx / (x²-a²) dx
(1/a) tan⁻¹(x/a) + c

∫ dx / x√(x²-a²)

(1/a) sec⁻¹|x/a| + c

The derivative of:
tan(x)

sec²(x)
The derivative of:
sec(x)
sec(x)tan(x)
∫sec²(x) dx

tan(x) + c

∫sec(x)tan(x) dx
sec(x) + c
The derivative of:
cosh(x)
sinh(x)
The derivative of:
tanh(x)
sech²(x)
The derivative of:
sinh(x)
cosh(x)
∫sinh(x) dx
cosh(x) + c
∫cosh(x) dx
sinh(x) + c

∫sech²(x) dx

tanh(x) + c

1 - cos²(x) = ?

sin²(x)
1 - sin²(x) = ?

cos²(x)

sin²(x) + cos²(x) = ?

1

What is the half-angle formula for:
cos²(x)

½(1 + cos(2x))

What is the half-angle formula for:
sin²(x)

½(1 - cos(2x))

tan²(x) + 1 = ?

sec²(x)

x=asinθ

√(a²-x²)

x=atanθ

√(a²+x²)

x=asecθ

√(x²-a²)