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You can use integrals in almost every aspect of physics. In kinematics, you can use integration for finding the displacement, given the trend of velocity as time passes (The area under the curve of a velocity vs time graph gives the displacement) .

Integration with Chain Rule Importance The chain rule is a method used to find the derivative of a composite function. The resulting derivative is d d x f ( g ( x ) ) = f ′ ( g ( x ) ) × g ′ ( x ) . The resulting derivative has a composite function multiplied by the derivative of the inner function.

Sometimes it's okay to use integration by parts; other times, when multiple iterations of integration by parts are required, then you use tabular integration. For example, if the example problem had x 10 x^{10} x10 instead of x 3 x^{3} x3, would you really want to integrate by parts 10 times?

Tabular integration is a method of quickly integrating by parts many times in sequence. This method requires that one of the functions in f(x)*g(x) be differentiable until it is zero. We must also be able to integrate the other function every time differentiate the first function.

0:53 3:28 Integration by Parts (When to use) : ExamSolutions - YouTube YouTube Start of suggested clip End of suggested clip Let me just show. You. Let's suppose we had the integral of say X multiplied by an exponential.MoreLet me just show. You. Let's suppose we had the integral of say X multiplied by an exponential. Function like e to the 2x. With respect to X. We cannot expand this at all so this is a typical.

Sometimes it's okay to use integration by parts; other times, when multiple iterations of integration by parts are required, then you use tabular integration. For example, if the example problem had x 10 x^{10} x10 instead of x 3 x^{3} x3, would you really want to integrate by parts 10 times?

0:08 18:09 Integration By Parts - Tabular Method - YouTube YouTube Start of suggested clip End of suggested clip Well first let's make a table in the first column we're going to put the signs. And in the secondMoreWell first let's make a table in the first column we're going to put the signs. And in the second column.