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- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_2160%3A_Applied_Calculus_I/04%3A_The_Integral/4.06%3A_SubstitutionThe Substitution Method (also called u -Substitution) is one way of algebraically manipulating an integrand so that the rules apply. This is a way to unwind or undo the Chain Rule for derivatives. Wh...The Substitution Method (also called u -Substitution) is one way of algebraically manipulating an integrand so that the rules apply. This is a way to unwind or undo the Chain Rule for derivatives. When you find the derivative of a function using the Chain Rule, you end up with a product of something like the original function times a derivative.
- https://math.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/MATH_110%3A_Techniques_of_Calculus_I_(Gaydos)/03%3A_The_Integral/3.04%3A_SubstitutionThe Substitution Method (also called u -Substitution) is one way of algebraically manipulating an integrand so that the rules apply. This is a way to unwind or undo the Chain Rule for derivatives. Wh...The Substitution Method (also called u -Substitution) is one way of algebraically manipulating an integrand so that the rules apply. This is a way to unwind or undo the Chain Rule for derivatives. When you find the derivative of a function using the Chain Rule, you end up with a product of something like the original function times a derivative.
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/03%3A_The_Integral/3.05%3A_SubstitutionIf the original integral had endpoints x=a and x=b, and we make the substitution u=g(x) and du=g′(x)dx, then the new integral will have endpoints u=g(a) and u=g(b) ...If the original integral had endpoints x=a and x=b, and we make the substitution u=g(x) and du=g′(x)dx, then the new integral will have endpoints u=g(a) and u=g(b) and ∫x=bx=a(original integrand)dx becomes ∫u=g(b)u=g(a)(new integrand)du.
- https://math.libretexts.org/Courses/Chabot_College/MTH_15%3A_Applied_Calculus_I/05%3A_The_Integral/5.05%3A_SubstitutionIf the original integral had endpoints x=a and x=b, and we make the substitution u=g(x) and du=g′(x)dx, then the new integral will have endpoints u=g(a) and u=g(b) ...If the original integral had endpoints x=a and x=b, and we make the substitution u=g(x) and du=g′(x)dx, then the new integral will have endpoints u=g(a) and u=g(b) and ∫x=bx=a(original integrand)dx becomes ∫u=g(b)u=g(a)(new integrand)du.
