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Differentiation of logs, Integrals of logs, Integrals leading to logs, Differentiation of exponentials:, Integrals of exponentials,

Logs and Exponentials


Differentiation of logs:


Derivative of the ln of a linear quantity
Derivative of the ln of a quadratic quantity
Derivative of the log of a cubic quantity
Derivative of the ln of a radical
Derivative of the ln of a fractional power
Derivative of the ln of a product
Derivative of the ln of a quotient derivative of the ln of a quotient

Derivative of the power of a ln derivative of the ln to a power

Derivative of the ln of a ln derivative of ln of ln

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Integrals of logs:


Integral of ln of a linear quantity log integration-by-parts problem
Integral of x * ln of a linear quantity log integration-by-parts problem
Integral of x^2 * ln of a linear quantity log integration-by-parts problem
Integral of the ln of a quadratic quantity log integration-by-parts problem
Integral of a quadratic * ln of a quadratic quantity log integration-by-parts problem

Integrals leading to logs:


Integral leading to the ln of a linear quantity
Integral leading to the ln of a quadratic quantity
Integral leading to the ln of a cubic quantity
Integral leading to the ln: Linear over x
Integral leading to the ln: Quadratic over x
Integral leading to the ln: ln of linear over another linear
Integral leading to the ln: ln of linear to a power, over another linear
Integral leading to the ln: reciprocal of a linear * ln of another linear
Integral leading to the ln: Quadratic over linear
Integral not leading to the ln of a denominator
Integral leading to the ln of 1+a fractional power
 

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Differentiation of exponentials: base e:


Derivative of the exponential of a linear quantity
Derivative of the exponential of a quadratic quantity
Derivative of the exponential of a cubic quantity
Derivative of the exponential of an integral power
Derivative of the exponential of a radical
Derivative of the exponential of a fractional power
Derivative of the exponential of a product
Derivative of the exponential of a quotient

Differentiation of exponentials: not base e:


Derivative of the exponential (base 5) of a linear quantity >
Derivative of the exponential (base 7) of powers of x >

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Integrals of exponentials: base e:


Integral of the exponential of a linear factor
Integral of exp of a quadratic factor
Integral of the exponential of a radical factor
Integral of the radical of (c - e^x)
Integral of the quotient of sums of exponentials
Integral of an exponential over another exponential
Integral of a base to a quadratic

Integrals of exponentials: not base e:


Integral of exponential of a linear quantity
Integral of exponential of a quadratic quantity
Integral of exponential of a square root

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