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Level 637

Differentiation & Integration of Trigonometric Fun


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∫sin(x) dx
-cos(x) + c
∫cos(x) dx
sin(x) + c
∫tan(x) dx
-ln|cos(x)| + c
∫cot(x) dx
ln|sin(x)| + c
∫sec(x) dx
ln|sec(x) + tan(x)| + c
∫csc(x) dx
-ln|csc(x) + cot(x)| + c
∫sin²(x) dx
x/2 - sin(2x)/4 + c
∫cos²(x) dx
x/2 + sin(2x)/4 + c
cos(x)
d/dx sin(x)
-sin(x)
d/dx cos(x)
sec²(x)
d/dx tan(x)
sec(x)tan(x)
d/dx sec(x)
-csc(x)cot(x)
Derivative of csc(x)
-csc²(x)
d/dx cot(x)
∫1/(a^2+x^2) dx
1/a arctan(x/a) + c
∫1/√(a^2-x^2) dx
arcsin(x/a) + c
1/√(1-x^2)
d/dx arcsin(x)
1/(1+x^2)
d/dx arctan(x)
y= sinx
y'= cosx
y=cosx
y'= -sinx
y=tanx
y'=sec^2 x
sinx
integral of cosx
-cosx
integral of sinx
tanx
integral of sec^2 x
-1/a cos (ax+b)+c
integral of sin (ax+b)
1/a tan (ax+b)+c
integral of sec^2 (ax+b)
integral of cos(ax+b)
1/a sin (ax+b)+c
Natural Log Differentiation
y = ln x → y' = 1/x
Integrals in Log Form
∫ (1/x) dx = ln |x| + C
Exponential Differentiation
y = e^x → y' = e^x
Integrals of Exponentials
∫ e^x dx = e^x + C
Differentiation of exponentials with bases other than e
y = a^x → y' = (a^x)(ln a)
Differentiation of logs with bases other than e
y = log(base a)x → y' = (1/ln a)(1/x)
Integrals of exponentials with bases other than e
∫ a^x dx = (1/ln a)(a^x) + C