General Contents

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 power of a ln derivative of the ln to a power

derivative of the ln to a power

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

derivative of ln of ln

General Contents

Differentiation of logs combined with other transcendental functions:

Chain Rule: Sine of Log: Find the derivative of sine or sin of log or ln

sine or sin of log or ln

General Contents

Integrals of logs:

Integral of ln of a linear quantity

Integral of the square of the ln of a linear quantity square of log, integration-by-parts problem

square of log, integration-by-parts problem

Integral of x * ln of a linear quantity log integration-by-parts problem

log integration-by-parts problem

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

log integration-by-parts problem

Integral of the ln of a quadratic quantity log integration-by-parts problem

log integration-by-parts problem

Integral of a quadratic * ln of a quadratic quantity log integration-by-parts problem

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

General Contents

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 > base 5 exponential to be differentiated

base 5 exponential to be differentiated

Derivative of the exponential (base 7) of powers of x > base 7 exponential to be differentiated

base 7 exponential to be differentiated

Differentiation of exponentials combined with other transcendentals:

Derivative of the sine of an exponential sine of an exponential to be differentiated

sine of an exponential to be differentiated

General Contents

Integrals of exponentials: base e:

Integral of an exponential

integral of an exponential

Linear times exp(linear)

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

Exponential * sine: Method 1 integral by parts of exponential times sine

integral by parts of exponential times sine

Exponential * sine: Method 2 integral by parts of exponential times sine

integral by parts of exponential times sine

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

General Contents