Answer the following questions related to the evaluation of definite integrals.
MATHEMATICS · Multi-part · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
Answer the following questions related to the evaluation of definite integrals.
(i) State the Second Fundamental Theorem of Calculus.
(ii) In not more than two sentences, explain how this theorem connects differentiation and integration.
(iii) Let f(x)=3x2−4x+5. Find an antiderivative F(x) of f(x) and verify that ∫13f(x)dx=F(3)−F(1).