AP Calc Ab Memorization

Integral of Sin(x)

-Cos(x)

Derivative of Sin(x)

Cos(x)

Derivative of Cos(x)

-sin(x)

Derivative of Tan(x)

Sec²(x)

Derivative of Sec(x)

Sec(x)tan(x)

Derivative of Csc(x)

-Csc(x)cot(x)

Derivative of Cot(x)

-Csc²(x)

Integral of Cos(x)

Sin(x)

Integral of Sec²(x)

Tan(x)

Integral of Sec(x)tan(x)

Sec(x)

Integral of Csc(x)cot(x)

-Csc(x)

Integral of csc²(x)

-Cot(x)

Sin(x) can also equal

1/cscx

Cos(x) can also equal

1/sec(x)

Tan(x) can also equal

1/cot(x)

Csc(x) can also equal

1/sin(x)

Sec(x) can also equal

1/cos(x)

Cot(x) can also equal to

1/tan(x)

Sin²(x)

1 - cos(2x) / 2

Cos²(x)

1 + cos(2x) / 2

Tan²(x)

1 - cos(2x) / 1 + cos(2x)

Sin(2x)

2sin(x)cos(x)

First Cos(2x)

cos²(x) - sin²(x)

Second cos(2x)

2cos²x - 1

Third cos(2x)

1 - 2 sin²x

Tan(2x)

2tan(x) / 1 - tan²(x)

Sin²x + cos²(x)

1

Sec²(x) - tan²(x)

1

Csc²(x) - cot²(x)

1

Sin(x) / cos(x)

Tan(x)

Cos(x) / Sin(x)

Cot(x)

Integral of (1 / ax + b)

1/a ln|ax + b|

Integral of ln(x)

X ln(x) - x

Integral of xe^x

Xe^x - e^x

Integral of 1 / 1 + x²

tan^-1 (x)

Integral of 1 / sqrt(1 - x²)

Sin^-1(x)

Integral of 1/sqrt(1-x²)

-cos^-1(x)

Integral of 1 / x sqrt(x²-1)

Sec^-1(x)

Integral of n^x

N^x / log n

Chain Rule [d/dx (f(g(x))]

f’(g(x))g’(x)

Velocity

f’(x)

Acceleration

v’(t) or f’’(t)

Tangent Line

Y = f(x) + f’(x) (x - x1)