What is the antiderivative of sec(x)tan(x)? Show all the steps. Antiderivative:In calculus, the term antiderivative denotes indefinite integration since the differentiation and integration are opposed to each other. It is also called antidifferentiation or inverse derivative, which means...
The antiderivative rules in calculus are basic rules that are used to find the antiderivatives of different combinations of functions.
Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples. Related to this Question Given that s(x) = \frac{1}{x + 8} + \frac{9}{x - 4}, what ...
Inverse variation is the relationship between two variables, such that if the value of one variable increases then the value of the other variable decreases. Q2 What is the inverse variation formula? The inverse variation is represented by x = k/y or xy = k. ...
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The value of log e base e, that is, ln e value is equal to 1. The derivative of log e is equal to zero as it is a constant. ☛ Related Topics: Antiderivative of ln x Derivative of log x Logarithms Examples Using Log e Example 1: Calculate the value of 2 log e. Solution: We...
Thesimplestdifferentialequation,therefore,isjustausualintegration problem y′=f(t). Comment:Thesolutionoftheaboveis,ofcourse,theindefiniteintegralof f(t),y=F(t)+C,whereF(t)isanyantiderivativeoff(t)andCisan arbitraryconstant.Suchasolutioniscalledageneralsolutionofthe ...
to be closed, so that the domain on which remains holomorphic is still open. A typical class of examples are the functions of the form that were already encountered in the Cauchy integral formula; if is holomorphic and , such a function would be holomorphic save for a singularity at ...
can anyone tell me what is the meaning of number e,i mean how it is discovered ?why derivative and antiderivative of this function same?i know it is very practical property of it but where did we get this number? and another thing eulers formula, which is e^(i*pi)+1=0, i...
What is dx in an integral? What is the integral of (tan^-1)(2x)? what is the integral of \frac{1}{\pi}\sqrt{ 1-y} What is the integral of cos(2pi)? What is the integral of \frac{x^2}{x}? What is the integral of (x^3+x)/(x^3-1)dx What is the antiderivative of...