https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-9/v/u-substitution 2021-02-07T17:14:01Z 𝘶-substitution intro Using u-substitution to find the anti-derivative of a function. Seeing that u-substitution is the inverse of the chain rule. Sal Khan video https://cdn.kastatic.org/googleusercontent/mVMPsj4zQ4-nwr61HM2cBH5fydXz1pSwcJzIbcRCOzRnk5JnLpUIa9A7Ewj69xrAxIYehNIcldej5WOLp0xV-QIt 𝘶-substitution intro Using u-substitution to find the anti-derivative of a function. Seeing that u-substitution is the inverse of the chain rule. https://cdn.kastatic.org/ka-youtube-converted/b76wePnIBdU.mp4/b76wePnIBdU.mp4 311 Integration by substitution https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-9/v/u-substitution-example-2 2020-07-26T09:23:42Z 𝘶-substitution: rational function Another example of using u-substitution Sal Khan video https://cdn.kastatic.org/googleusercontent/c9fOWPR-ExsXKXpUG1-0_Gjexphv2FRsH8Lu3iMIAywi2OCJ1qvQtB4LqT5Xi8aY6se2yX3V18BjU3q1wKXHIKxNzA 𝘶-substitution: rational function Another example of using u-substitution https://cdn.kastatic.org/ka-youtube-converted/Zp5z0wa0kgo.mp4/Zp5z0wa0kgo.mp4 244 Integration by substitution https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-9/v/u-substitution-with-ln-x 2020-07-26T09:23:41Z 𝘶-substitution: logarithmic function Doing u-substitution with ln(x) Sal Khan video https://cdn.kastatic.org/googleusercontent/YDF5Heevw0dHjmqrjaHL1MAV22lWB9u2-faZzJmYqgJ7bMPLCm8ReAyiw32fMFV2JnFEBH6QUvky4_a1EL5rRdM 𝘶-substitution: logarithmic function Doing u-substitution with ln(x) https://cdn.kastatic.org/ka-youtube-converted/OLO64d4Y1qI.mp4/OLO64d4Y1qI.mp4 219 Integration by substitution https://www.khanacademy.org/math/integral-calculus/ic-integration/ic-u-sub/v/2-ln-x-x-antiderivative-example 2020-07-26T09:23:48Z 𝘶-substitution: challenging application Finding  ∫(2^ln x)/x dx Sal Khan video https://cdn.kastatic.org/googleusercontent/m90lN-ZAHQSmhg7TG2ZBXi2VPjx3W3EOB3sYkOdcQCtmEpVSV9zI45brNlZbriZZUE7y1eGgBgmYV9Kf2KcUp9Y 𝘶-substitution: challenging application Finding  ∫(2^ln x)/x dx https://cdn.kastatic.org/ka-youtube-converted/C5Lbjbyr1t4.mp4/C5Lbjbyr1t4.mp4 520 Integration by substitution https://www.khanacademy.org/math/integral-calculus/ic-integration/ic-u-sub/v/u-substitution-and-back-substitution 2020-07-26T09:23:46Z 𝘶-substitution: special application Using 𝘶-substitution in a situation that is a bit different than "classic" 𝘶-substitution. In this case, the substitution helps us take a hairy expression and make it easier to expand and integrate. Sal Khan video https://cdn.kastatic.org/googleusercontent/SsjStKp0T_2kkCmeFGQ6ODSZaAecfkfl2HfA96mRm9cUt_z0frdzWmMQfBjuqbjgkHYueFF7HHraix479ZJ4tB7K 𝘶-substitution: special application Using 𝘶-substitution in a situation that is a bit different than "classic" 𝘶-substitution. In this case, the substitution helps us take a hairy expression and make it easier to expand and integrate. https://cdn.kastatic.org/ka-youtube-converted/J-NC1M6obKo.mp4/J-NC1M6obKo.mp4 301 Integration by substitution https://www.khanacademy.org/math/class-12-tg/x6469e28db15923ec:integration/x6469e28db15923ec:integration-by-the-method-of-substitution-integration-of-algebraic-and-trigonometric-functions/v/integral-of-tan-x 2020-07-26T09:23:47Z Integral of tan x It might not look like it at first, but the reverse chain rule let's us find the integral of tan(x) video https://cdn.kastatic.org/googleusercontent/s7OOtcOAULMjsI2l_YdT9DGF6En0uGUxp2Hc9xhRZYVYyN0-xVrxCpvbBgU5vCfCAPm6K4M8PjaXSHLQ0bhpk1wbYA Integral of tan x It might not look like it at first, but the reverse chain rule let's us find the integral of tan(x) https://cdn.kastatic.org/ka-youtube-converted/gflKYcGG6hc.mp4/gflKYcGG6hc.mp4 239 Integration by substitution https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-9/e/integration-by-u-substitution 2025-03-12T14:20:10.072734823Z 𝘶-substitution: indefinite integrals Find indefinite integrals that require using the method of 𝘶-substitution. Tomer Gal exercise https://www.khanacademy.org/math/integral-calculus/ic-integration/ic-u-sub/v/doing-u-substitution-twice-second-time-with-w 2020-07-26T09:23:48Z 𝘶-substitution: double substitution Finding the indefinite integral of cos(5x)/e^[sin(5x)]. To do that, we need to perform 𝘶-substitution twice. Sal Khan video https://cdn.kastatic.org/googleusercontent/yL-NFdqeGwee9N-_iyj2t8ixvlcSaBAQKhivjgSA8iKWmzq40jqItgSxUPaCiLORZ2ZoKex9ilsOcE7pKABICjw 𝘶-substitution: double substitution Finding the indefinite integral of cos(5x)/e^[sin(5x)]. To do that, we need to perform 𝘶-substitution twice. https://cdn.kastatic.org/ka-youtube-converted/ShpI3gPgLBA.mp4/ShpI3gPgLBA.mp4 537 Integration by substitution https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-3/x6a634f0b79812b7f:integrals/e/u-substitution-challenge 2025-05-05T08:14:25.350149109Z u-substitution challenge . Tomer Gal exercise