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snakehunter
- 2
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Can some on pleases explain this too me. I have an AP book, and i am to do a few problems out of it for class, and but can't find it in there ANY WHERE. Any help would be superb!
-Jacob
-Jacob
The 2nd fundamental theorem of calculus is a theorem that relates the integral of a function to its derivative. It is also known as the Newton-Leibniz formula.
The 1st fundamental theorem of calculus states that the integral of a function can be calculated by finding its antiderivative. The 2nd fundamental theorem of calculus, on the other hand, relates the derivative of a function to its integral.
The 2nd fundamental theorem of calculus is used in many real-world applications, such as physics, engineering, and economics. It is used to calculate quantities such as area, volume, and displacement.
Yes, the 2nd fundamental theorem of calculus can be applied to both definite and indefinite integrals. For definite integrals, it helps to evaluate the integral and for indefinite integrals, it relates the integral to its derivative.
The 2nd fundamental theorem of calculus holds if the function being integrated is continuous on the interval of integration and has an antiderivative on that interval. Additionally, the upper and lower limits of integration must be within the interval of continuity.