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The process for finding the integral in calculus is called integration, and the integral of a function is also known as the function's antiderivative. A table of integrals follows of various forms including rational functions, trigonometric integrals, exponential forms, and more.

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.

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.

The process for finding the integral in calculus is called integration, and the integral of a function is also known as the function's antiderivative. A table of integrals follows of various forms including rational functions, trigonometric integrals, exponential forms, and more.

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.

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.