Basic Differentiation And Integration Formulas With Examples

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$1. \displaystyle{\int x^n dx = \dfrac{x^{n + 1}}{n + 1}} \\[3mm] \displaystyle{\int (ax + b)^n = \dfrac{1}{a} \dfrac{(ax + b)^{n + 1}}{n + 1}, n \neq -1} \\[3mm] 2.\displaystyle{\int \dfrac{1}{x} dx = \log x} \\[3mm] \displaystyle{\int \dfrac{1}{ax + b} dx = \dfrac{1}{a} \log (ax + b)} \\[3mm] 3. \displaystyle{\int e^x dx = e^x} \\[3mm] \displaystyle{\int e^{ax + b} dx = \dfrac{1}{a}e^{ax + b}} \\[3mm] 4. \displaystyle{\int a^x dx = \dfrac{a^x}{\log_e a}} \\[3mm] \displaystyle{\int a^{px + q} dx = \dfrac{1}{p} \dfrac{a^{px + q}}{\log_w a}}$

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Basic Differentiation And Integration Formulas With Examples

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