Let be an antiderivative of

MATHEMATICS · Multi-part · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let F(x)F(x) be an antiderivative of f(x)=−3(2x3−5sin⁡x+4ex)f(x)=-3\bigl(2x^{3}-5\sin x+4e^{x}\bigr). Given that F(0)=4F(0)=4, answer the following: (i) Find the general form of F(x)F(x). (ii) Determine the particular F(x)F(x) satisfying F(0)=4F(0)=4.

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