LogIntegral[z] is the logarithmic integral function . DetailsExamplesopen all Basic Examples(5) Evaluate numerically: In[1]:= Out[1]= Plot over a subset of the reals: In[1]:= Out[1]= Series expansion at the origin: In[1]:= Out[1]= Series expansions around the branch ...
Expanding Logarithmic Expressions: Examples These simple steps work for any expression where there’s a “log” followed by a fraction with terms in the numerator and denominator; You don’t need to memorize any of therules!. Example question #1:Expand the following logarithmic expression: ...
Here are some examples: (1) The Richter magnitude scale measures the intensity of earthquakes. It is calibrated logarithmi- cally to base 10. An earthquake one point higher on the Richter scale is ten times as intense. (2) The pH scale in chemistry is a logarithmic scale to measure the ...
Integral Examples & Functions FunctionIntegralExplanation 1/xln |x| + CThe integral of 1/x with respect to x is the natural logarithm of the absolute value of x. 2^x2^x/ln(2) + CUsing the formula for a^x with a = 2. 2xx^2 + CUsing the power rule for integration. ...
Compute definite and indefinite integrals with detailed step-by-step solutions!Integral Calculator Compute the Integral: Try the following examples: [Polynomial Integration] [Trigonometric Integration] [Exponential Integration] [Rational Function Integration] [Linear Function Integration] [Logarithmic Integration...
Indefinite Integrals; Logarithmic Functions:We observe the derivative of the natural logarithm dln|x|dx=1x. This suggests the substitution t=6−8x since the expression 6−8x appears in the integrand. We'll need to return the answer to the original variable x and make sure to add ...
Exponential Functions:The integral of an exponential is given by:∫exdx=ex+C Logarithmic Functions:Some cases of integrals yield logarithmic functions.∫axdx=axloga+Cand∫1xdx=log|x|+C Trigonometric Functions:Integration of these may require some substitutions using the var...
Solving the Integral of Cos(x) How to Antidifferentiate Logarithmic Functions Start today. Try it now Math 104: Calculus 16 chapters | 136 lessons | 11 flashcard sets Ch 1. Graphing and Functions Function in Math | Definition & Examples 7:57 Graphing Basic Functions 8:01 Compounding...
To integrate trigonometric functions, we can take help of some formulas. ∫tanx=−ln|cosx|+C∫cotx=ln|sinx|+C where, C is the integral constant. Quotient rule of logarithmic function: lnea−lneb=lneab Answer and Explanation: Given: {eq}\...
L : Logarithmic functions A : Algebraic functions. T: Trigonometric functions E: Exponential functions. Answer and Explanation: When antiderivative of a function is not known, we can use integration by parts. Using the ILATE rule for integrating by parts, {eq}\ln...Become...