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IntegrateMe
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[tex]\frac {d} {dt}\int_{1}^{x} sint dt[/tex]
IntegrateMe said:[tex]\frac {d} {dt}\int_{1}^{x} sint dt[/tex]
yes.IntegrateMe said:Yes, sorry, it's d/dx
Wouldn't the result be just "sinx" ?
The derivative of an integral is used to calculate the rate of change of a quantity over time. This can be useful in many fields such as physics, economics, and engineering.
The derivative of an integral can be found by using the Fundamental Theorem of Calculus, which states that the derivative of an integral is equal to the original function being integrated.
The derivative and integral are inverse operations. The derivative calculates the rate of change of a function, while the integral calculates the area under the curve of a function.
Some common techniques for finding the derivative of an integral include using the power rule, the chain rule, and substitution. It is important to also be familiar with the properties of derivatives and integrals.
It is important to find the derivative of an integral because it allows us to analyze the behavior of a function and make predictions about its future values. It also has many practical applications in fields such as physics, engineering, and economics.