About U-Substitution Formula
In calculus, U-substitution is also called integration by substitution. The U-substitution formula is a method for evaluating integrals. The fundamental theorem of calculus is applied for evaluating antiderivative. Due to this, integration by substitution is an important method in maths. The U-substitution formula is another method for the chain rule of differentiation. This U-substitution formula is similarly related to the chain rule for differentiation. In the U-substitution formula, for a given function is replaced by 'u' and then u is integrated according to the fundamental integration formula. After integration, we can re-substitute the actual function in place of u. Get the List of all Maths formulas in one place.
What is U Substitution Formula?
In the U-substitution formula, the main function is replaced by 'u' and then variable u is integrated according to the fundamental integration formula but after integration, we re-substitute actual function in place of u. U-substitution formula can be given as :
here,
u = g(x)
du = g'(x)dx