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chevy900ss
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f(x)=40*e^(-0.5x)
Can You Integrate f(x)=40*e^(-0.5x) Using the u-Substitution Method?
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In summary, integration involves finding the antiderivative of a function using integration rules or techniques such as substitution or integration by parts. Its main purpose is to find the area under a curve or the accumulation of a quantity, and it is widely used in various fields such as physics, economics, and engineering. The limits of integration are determined by the range of values over which the function is being integrated, which can be determined by the given problem or by looking at the graph of the function. There are two main types of integration: indefinite and definite. Indefinite integration involves finding the antiderivative of a function, while definite integration involves evaluating the antiderivative at specific limits of integration. Software such as WolframAlpha or Desmos can
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chevy900ss
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If anyone could help my figure it out i would really appreciate it. Thanks
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tiny-tim
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Welcome to PF!
Hi chevy900ss! Welcome to PF!
(try using the X2 tag just above the Reply box)
(btw, really bad idea to answer your own thread … people are much more likely to reply to unanswered threads!)
Hint: what do you get if you differentiate e-0.5x ?
Hi chevy900ss! Welcome to PF!
(try using the X2 tag just above the Reply box
)(btw, really bad idea to answer your own thread … people are much more likely to reply to unanswered threads!)
chevy900ss said:
Hint: what do you get if you differentiate e-0.5x ?
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HallsofIvy
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If you cannot answer tiny-tim's question, in general, you can integrate eax by making the substitution u= ax so du= adx, (1/a)du= dx.
Related to Can You Integrate f(x)=40*e^(-0.5x) Using the u-Substitution Method?
1. How do I integrate this function?
Integrating a function involves finding the antiderivative of the function. This can be done using integration rules or techniques such as substitution or integration by parts.
2. What is the purpose of integration?
The main purpose of integration is to find the area under a curve or the accumulation of a quantity. It is also used in various fields such as physics, economics, and engineering to solve real-world problems.
3. How do I determine the limits of integration?
The limits of integration are determined by the range of values over which the function is being integrated. This can be determined by the given problem or by looking at the graph of the function.
4. What are the different types of integration?
There are two main types of integration: indefinite and definite. Indefinite integration involves finding the antiderivative of a function, while definite integration involves evaluating the antiderivative at specific limits of integration.
5. Can I use software to help me with integration?
Yes, there are many software programs and online tools available that can help with integration, such as WolframAlpha or Desmos. However, it is important to have a good understanding of integration concepts and techniques before relying solely on software.
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