an improper definite integral, or an improper integral. And we would denote it as 1 is our lower boundary, but we’re just going to keep on going forever as our upper boundary. So our upper boundary is infinity. And we’re taking the integral of 1 over x squared dx. An improper integral is a type of definite integral in which the integrand is undefined at […]
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Category: AP
Applications of Integration(Kinematics)
This post about Application of Integration into Kinematics. Solve for displacement given a velocity function in time. Solve for displacement and velocity given an acceleration function in time, & distinguish between displacement and total distance. kinematics
Volume -2
To get a solids of revolution we start out with a function, y=f (x), on an interval [a,b]. We then rotate this curve about a given axis to get the surface of the solid of revolution. Volume
Area under the curve
To find the area under the curve y = f (x) between x = a and x = b, integrate y = f (x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive. Area under the curve
Second fundamental theorem of Calculus-2
Second Fundamental Theorem of Calculus: Then F ( x) is an antiderivative of f ( x )—that is, F ‘( x) = f ( x) for all x in I. That business about the interval I is to make sure we only get limits of integration that are are reasonable for your function. Some things […]
Integration by substitution
This post is about worksheet of integration by trigonometric substitution. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] Integration by trigonometric substitutions
Differential Eq
Differential Equation is a function and one or more of its derivatives. Hence it solve by variable seperable and linear differential eq method. Also it solve by homogeneous. Differential Equation
Logarithmic Expression
Solve the logarithmic equation. This problem involves the use of the symbol “ln” instead of “log” to mean logarithm. Logarithmic expression
Simultaneous Equation
The simultaneous equations are solve by the elimination. These equations are also solve by substitution as well as graphic method. Due to variable solution give coordinate. Simultaneous eq
Logarthmic Equation
Logarithms equation can be solved using the properties of logarithms. So equation either are solve by log or exponent. Because both inverse of each other hence are either way exponent or log.In both apply properties of log or exponent. Also we need to factorised to solve. Logarithmic eq