Homework SourseIntegral 13x2 dx Antiderivative Fx13 x3 Rule 13 3313 13263 H
Integral: ?[1,3,x^2] dx
Antiderivative: F(x)=1/3 x^3
Rule: 1/3 3^3-1/3 1^3=26/3
How is the Antiderivative of an integral used to evaluate a definite integral? What is the rule you use to evaluate a given definite integral? (Hint: This rule is the single most important rule in all of Calculus.)
Antiderivative: F(x)=1/3 x^3
Rule: 1/3 3^3-1/3 1^3=26/3
How is the Antiderivative of an integral used to evaluate a definite integral? What is the rule you use to evaluate a given definite integral? (Hint: This rule is the single most important rule in all of Calculus.)
Solution
antiderivative is the function whose change in values in given interval actually gives the integration or summation of the given integrand(function) just put the upper limit in function - lower limit in function !!!![Integral: ?[1,3,x^2] dx Antiderivative: F(x)=1/3 x^3 Rule: 1/3 3^3-1/3 1^3=26/3 How is the Antiderivative of an integral used to evaluate a definite integral? W](/WebImages/37/integral-13x2-dx-antiderivative-fx13-x3-rule-13-3313-13263-h-1109968-1761588333-0.webp "Integral: ?[1,3,x^2] dx Antiderivative: F(x)=1/3 x^3 Rule: 1/3 3^3-1/3 1^3=26/3 How is the Antiderivative of an integral used to evaluate a definite integral? W")
