Integration - A'Level Maths Boost

Integration

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Integrating xⁿ
Indefinite integrals
Finding functions
Definite integrals
Areas under curves
Areas under the x-axis
Areas between curves and lines

Integrating \math-container{x\power{n}} with respect to x is written as \math-container{\int{}x\power{n}dx=\frac{x\power{n+1}|n+1}+c, n≠-1}

\math-container{\int{}af(x)dx=a\int{}f(x)dx }where \math-container{a} is a constant

\math-container{\int{}v(t)dt=r(t)+c}

\math-container{\int{}a(t)dt=v(t)+c}

\math-container{\int{b|a}f(x)dx=F(b)-F(a)} where\math-container{\frac{d|dx}(F(x))=f(x)}