IntegrateMe said:∫f(t) dt = 9 [0, 1]
Find:
∫f(10t)dt [0, 0.1]
∫f(1 - 10t)dt [0, 0.1]
Any idea on how to get started with this one?
IntegrateMe said:10dt!
IntegrateMe said:1/10∫f(u)du ?
IntegrateMe said:From 0 to 0.1.
Does ∫f(u)du = 9?
An integral is a mathematical concept that represents the accumulation of a continuous quantity over an interval. It is used to find the total area under a curve or the total volume of a solid shape.
Finding the integral is important in many areas of mathematics and science, as it allows us to solve problems involving continuous quantities. It also has practical applications in fields such as physics, engineering, and economics.
An integral is considered easy when it has a straightforward mathematical solution or when it can be solved using well-known integration techniques. This often depends on the complexity of the integrand (the function being integrated).
To solve an easy integral, you can follow the standard integration rules and techniques, such as substitution, integration by parts, or using simple integration formulas. It is also helpful to have a good understanding of basic algebra and trigonometry.
Yes, there are various ways to check your answer after solving an easy integral. You can use a graphing calculator to graph the integrand and compare it to the graph of your solution. Additionally, you can take the derivative of your solution to see if it matches the original integrand.