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eddybob123
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when isaac Newton was inventing calculus, how did he do it? why do we get the antiderivative? why do we have to F(b)-F(a)? I am just interested to know.
Isaac Newton was an English mathematician, physicist, and astronomer, widely recognized as one of the most influential scientists in history. He is best known for his contributions to the development of classical mechanics, including his laws of motion and universal gravitation.
Calculus is a branch of mathematics that deals with the study of rates of change, accumulation, and motion. It is divided into two main branches: differential calculus, which focuses on the instantaneous rate of change of a function, and integral calculus, which deals with the accumulation of quantities over a given interval of time.
Isaac Newton, along with German mathematician Gottfried Leibniz, is credited with independently inventing calculus in the 17th century. He developed the fundamental principles of calculus, including the concepts of derivatives and antiderivatives, which are crucial in solving problems related to motion and change.
Antiderivatives, also known as indefinite integrals, are the inverse operation of derivatives in calculus. They represent the original function that, when differentiated, gives the given function. Antiderivatives are useful in finding the total change or accumulation of a quantity over a given interval of time.
The fundamental theorem of calculus, which states that integration and differentiation are inverse operations, was discovered by both Isaac Newton and Gottfried Leibniz. It is a fundamental concept in calculus and is essential in solving problems related to motion, change, and accumulation.