Benedict Irwin edited Explaination.tex  over 9 years ago

Commit id: 6e5f63cce8ce89719ea383e27288ab544ce97de8

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\int_a^b f(x) \;dx= C \\  \int_a^b xf'(x) \;dx = -C + [xf(x)]_a^b \\  \int_a^b xf'(x)+x^2f''(x) \;dx = C - [xf(x)]_a^b + [x^2f'(x)]_a^b \\  \int_a^b x^2f''(x)\;dx= 2C - 2[xf(x)]_a^b + [x^2f'(x)]_a^b \\  \int_a^b 2x^2f''(x) + x^3f'''(x) \;dx = -2C +2[xf(x)_a^b -[x^2f'(x)_a^b +[x^3f''(x)]_a^b \\  \int_a^b x^3f'''(x) \;dx = -6C +6[xf(x)]_a^b -3[x^2f'(x)]_a^b +[x^3f''(x)]_a^b  \end{equation}