The derivative of a function $F(x)$ is given by $F’(x) = 3x^2 + 2$. Given that $F(1) = 5$, find the expression for $F(x)$.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 3 marks, testing your understanding of Anti-differentiation and Fundamental Theorem. It falls under Calculus in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers limits, continuity, differentiability, differentiation, and anti-differentiation.
anti-differentiation by recognition that $F^{\prime}(x)=f(x)$ implies $\int f(x) d x=F(x)+c$ and informal treatment of the fundamental theorem of calculus, $\int_{a}^{b} f(x) d x=F(b)-F(a)$
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