Home/Calculus II/Definite integral and Fundamental Theorem of Calculus/Average valueSection 3.5Average valueFormulavizCopy LaTeXfprom=1b−a∫abf(x) dx.f_{\mathrm{prom}}=\frac{1}{b-a}\int_a^b f(x)\,dx.fprom=b−a1∫abf(x)dx.View detail →If fff is continuous, there exists c∈[a,b]c\in[a,b]c∈[a,b] such thatFormulaCopy LaTeXf(c)=fprom.f(c)=f_{\mathrm{prom}}.f(c)=fprom.View detail →
FormulavizCopy LaTeXfprom=1b−a∫abf(x) dx.f_{\mathrm{prom}}=\frac{1}{b-a}\int_a^b f(x)\,dx.fprom=b−a1∫abf(x)dx.View detail →