Alternative Equation Formats

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MathML

\begin{aligned} Q_{1} (r) = B (r) - (\int_{0}^{r} B_{m} (x) d x) {(\int_{0}^{1} B_{m} (x) {B_{m}}^{'} (x) d x)}^{- 1} (\int_{0}^{1} B_{m} (x) d B (x)) \\ Q_{2} (r) = V (r) - (\int_{0}^{r} {\bar{B}}_{m} (x) d x) {(\int_{0}^{1} {\bar{B}}_{m} (x) \bar{{B_{m}}^{'}} (x) d x)}^{- 1} (\int_{0}^{1} {\bar{B}}_{m} (x) d B (x)) \\ Q_{3} (r) = V_{2} (r) - (\int_{0}^{r} B_{m}^{*} (x) d x) {(\int_{0}^{1} B_{m}^{*} (x) {B_{m}^{*}}^{'} (x) d x)}^{- 1} (\int_{0}^{1} B_{m}^{*} (x) d B (x)) \end{aligned}

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Math as LaTeX Source

\begin{align*} Q_1(r) = B(r) - \left( \int _0^ r{\mathbf{B_ m}(x)dx} \right) \left( \int _0^1{\mathbf{B_ m}(x)\mathbf{{B_ m}'}(x)dx} \right) ^{-1} \left( \int _0^1{\mathbf{B_ m}(x)dB(x)} \right) \\ Q_2(r) = V(r) - \left( \int _0^ r{\mathbf{\bar{B}_ m}(x)dx} \right) \left( \int _0^1{\mathbf{\bar{B}_ m}(x)\bar{\mathbf{{B_ m}'}}(x)dx} \right)^{-1} \left( \int _0^1{\mathbf{\bar{B}_ m}(x)dB(x)} \right) \\ Q_3(r) = V_2(r) - \left( \int _0^ r{\mathbf{B^{*}_ m}(x)dx} \right) \left( \int _0^1{\mathbf{B^{*}_ m}(x)\mathbf{{B^{*}_ m}'}(x)dx} \right) ^{-1} \left( \int _0^1{\mathbf{B^{*}_ m}(x)dB(x)} \right) \end{align*}