Scroll to see replies
Spoiler
\displaystyle [br]\begin{equation*}I = \int_a^b f(x) \, \mathrm{d}x= F(x)\bigg|_{a}^{b} = F(b) - F(a) \end{equation*}
\displaystyle [br]\begin{equation*}\int_b^a f(x) \, \mathrm{d}x = F(x)\bigg|_b^a = F(a) - F(b) = -(F(b) - F(a)) = -I \end{equation*}
\displaystyle [br]\begin{equation*} \int_a^b f(x) \mathrm{d}x + \int_b^c f(x) \mathrm{d}x = \int_a^c f(x) \mathrmm{d}x \end{equation*}
\displaystyle[br]\begin{equation*}\int_a^b f(x) \mathrm{d}x + \int_b^a f(x) \mathrm{d}x = \int_a^a f(x) \mathrm{d}x = 0 \end{equation*}
Last reply 2 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrong71
Last reply 2 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrong71