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What is the derivative of sin(x)?
The derivative of sin(x) is cos(x)
What is the derivative of cos(x)?
The derivative of cos(x) is -sin(x)
What is the derivative of tan(x)?
The derivative of tan(x) is sec²(x)
What is the integral of sin(x)?
The integral of sin(x) is -cos(x) + C
What is the integral of cos(x)?
The integral of cos(x) is sin(x) + C
What is the integral of sec²(x)?
The integral of sec²(x) is tan(x) + C
What is the derivative of csc(x)?
The derivative of csc(x) is -csc(x)cot(x)
What is the derivative of sec(x)?
The derivative of sec(x) is sec(x)tan(x)
What is the integral of csc(x)?
The integral of csc(x) is -ln|csc(x) + cot(x)| + C
What is the integral of sec(x)?
The integral of sec(x) is ln|sec(x) + tan(x)| + C
What is the integral of cos(a*x)?
The integral of cos(ax) is (1/a)sin(ax) + C
What is the derivative of sin(a*x)?
The derivative of sin(ax) is acos(a*x)
What is the integral of sin(a*x)?
The integral of sin(ax) is -(1/a)cos(ax) + C
What is the derivative of tan(a*x)?
The derivative of tan(ax) is asec²(a*x).
What is the integral of cot(x)?
The integral of cot(x) is ln|sin(x)| + C.
What is the integral of sec(x)tan(x)?
The integral of sec(x)tan(x) is sec(x) + C.
What is the derivative of csc(x)?
The derivative of csc(x) is -csc(x)cot(x).
What is the integral of csc²(x)?
The integral of csc²(x) is -cot(x) + C.
What is the derivative of sec²(x)?
The derivative of sec²(x) is 2sec²(x)tan(x).
What is the integral of sec(x)sec(x)?
The integral of sec²(x) is tan(x) + C.
What is the derivative of arcsin(x)?
The derivative of arcsin(x) is 1/√(1-x²).
What is the integral of tan(x)?
The integral of tan(x) is -ln|cos(x)| + C.
What is the derivative of arccos(x)?
The derivative of arccos(x) is -1/√(1-x²).
What is the integral of arctan(x)?
The integral of arctan(x) is x*arctan(x) - (1/2)ln(1+x²) + C.
What is the derivative of arccot(x)?
The derivative of arccot(x) is -1/(1+x²).
What is the integral of sec(x)?
The integral of sec(x) is ln|sec(x) + tan(x)| + C.
What is the derivative of sin²(x)?
The derivative of sin²(x) is 2sin(x)cos(x) = sin(2x).
What is the integral of cos²(x)?
The integral of cos²(x) is (1/2)(x + sin(x)cos(x)) + C.
What is the derivative of cos(a*x)?
The derivative of cos(ax) is -asin(a*x).
What is the integral of sin²(x)?
The integral of sin²(x) is (1/2)(x - sin(x)cos(x)) + C.
What is the derivative of a*sec(x)?
The derivative of asec(x) is asec(x)*tan(x).
What is the integral of csc(x)?
The integral of csc(x) is -ln|csc(x) + cot(x)| + C.
What is the derivative of tan²(x)?
The derivative of tan²(x) is 2tan(x)sec²(x).
What is the integral of sinh(x)?
The integral of sinh(x) is cosh(x) + C.
What is the derivative of sinh(x)?
The derivative of sinh(x) is cosh(x).
What is the integral of cosh(x)?
The integral of cosh(x) is sinh(x) + C.
What is the derivative of cosh(x)?
The derivative of cosh(x) is sinh(x).
What is the integral of e^x*sin(x)?
The integral of e^xsin(x) is (e^x(sin(x) - cos(x)))/2 + C.
What is the derivative of ln(sin(x))?
The derivative of ln(sin(x)) is cot(x).
What is the integral of ln(x)?
The integral of ln(x) is xln(x) - x + C.
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Flashcard (27)