Trig stuff Flashcards
Derivative of Sinx
Cosx
Derivative of tan x
sec^2 x
Derivative of Cosx
-Sinx
Derivative of sec x
secxtanx
Derivative of cot x
-csc^2 x
Derivative of csc x
cscxcotx
Antiderivative of cosx
sin x +C
Antiderivative of sin x
-cos x +C
Antiderivative of secxtanx
sec x +C
Antiderivative of sec^2x
tan x +C
Antiderivative of csc^2 x
-cot x +C
Antiderivative of cscxcotx
-csc x +C
Sin^2 x + cos^2 x =1, solve for sin^2x
sin^2 x = 1-cos^2 x
Sin^2 x + cos^2 x =1, solve for cos^2x
cos^2 x = 1-sin^2x
tan^2 x + 1= sec^2 x, solve for tan^2 x
tan^2 x = sec^2 x-1
tan^2 x + 1= sec^2 x, what does sec^2 x equal?
sec^2 x = tan^2 x + 1
1+ cot^2 x = csc^2 x, solve for cot^2 x
cot^2 x = csc^2 x - 1
If we have a function: a dx , what is the integral?
a x +C
If we have a function: x^2 dx , what is the integral?
x^3/3 +C
If we have a function: x dx , what is the integral?
x^2/2 +C
If we have a function: 1/x dx , what is the integral?
ln|x| +C
If we have a function: e^x dx, what is the integral?
e^x +C
If we have a function: a^x dx, what is the integral?
a^x/ln(a) +C
What is the power rule from the function (x^n)dx?
x^(n+1)/(n+1) +C
If we have a function: ln (x) dx, what is the integral?
xln(x) - x +C
What is the formula for integration by parts (IBP) of the function (u)(v)’
(u)(v) - (du)(v) dx
