To graph y = cos(x), we need to be familiar with the properties of the cosine function. We can use these properties to create the graph of y = cos(x). Let's first take a look at the properties of the cosine function. The domain (which includes the x-values we can plug into...
To differentiate a definite integral with a variable at a limit of integration, we will use another form of FTC. Using FTC we need to know how to obtain an antiderivative of a given function. The antiderivative of f(x) is a function F(x), such that ddx(F(x))=f(x)....
box and whisker diagrams allow us to read the data very effectively and easily. it summarises the data from multiple sources and displays it in a single graph. it helps us to make an effective decision as it compares the data from different categories. when to use box and whisker plot?
we can directly count the number of squares covered by that shape. otherwise, we need to draw the graph lines or square grids over the given irregular shape. go through the example given below to understand this method of finding the area of an irregular shape in a better way. example of...
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Its height is a speed (because the function values, or heights, are speeds) and its base is an amount of time, so its area is speed times time which equals distance. Alternatively, recall that the derivative of position is velocity. So, the antiderivat...
Indefinite integration involves finding the antiderivative of a function, while definite integration involves finding the area under a curve between two specified bounds. In other words, indefinite integration gives a general solution, while definite integration gives a specific value. ...
That his antiderivative didn’t agree With the one in the book E’en aft one more look. Oh! Seems he forgot to write the “+C”. A graduate student from Trinity Computed the cube of infinity; But it gave him the fidgets To write down all those digits, ...
The Fundamental Theorem of Calculus, Part 1: If f is continuous on {a, b}, then the function g defined by g(x) = \int_a^x f(t)dt , a \leq x \leq b is an antiderivative of f Use the second fundamental theorem of calculus to create an anti-derivative for ln (x) such that...