Trig Nonsense I Forget Flashcards
The derivative of cos is _____
-sin
The derivative of sin is _____
cos
The derivative of tan is _____
sec²
The derivative of cot is _____
-csc²
The derivative of csc is _____
(-csc)(cot)
The derivative of sec is _____
(sec)(tan)
The derivative of sin⁻¹ is _____
1/√(1-x²)
The derivative of cos⁻¹ is _____
-1/√(1 - x²)
The derivative of tan⁻¹ is _____
1/(1+x²)
The antiderivative of sin(x) dx is _____
-cos(x)+C
The antiderivative of cos(x) dx is _____
sin(x)+C
The antiderivative of sec²(x) dx is _____
tan(x)+C
The antiderivative of csc²(x) dx is _____
-cot(x)+C
The antiderivative of sec(x)*tan(x) dx is _____
sec(x)+C
The antiderivative of csc(x)*cot(x) dx is _____
-csc(x)+C
The antiderivative of tan(x) dx is _____
-ln|cos(x)|+C
The antiderivative of cot(x) dx is _____
ln|sin(x)|+C
The antiderivative of sec(x) dx is _____
ln|sec(x)+tan(x)|+C
The antiderivative of csc(x) dx is _____
ln|csc(x)-cot(x)|+C
The antiderivative of dx/√(a²-x²) is _____
sin⁻¹(x/a)+C
The antiderivative of dx/(a²+x²) is ______
(1/a)*tan⁻¹(x/a)+C
The antiderivative of dx/x√(x²-a²) is _____
(1/a)*sec⁻¹(x/a)+C
