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Category: Integration

i-sinx-x-dx-ii-cosx-x-dx-iii-1-lnx-dx-iv-1-k-2-sin-2-x-dx-v-sinx-dx-vi-sin-x-2-dx-vii-cos-x-2-dx-viii-xtanxdx-ix-e-x-

Question Number 95208 by Ar Brandon last updated on 24/May/20 isinxxdxiicosxxdxiii1lnxdxiv1k2sin2xdxvsinxdxvisin(x2)dxviicos(x2)dxviiixtanxdx$$\mathrm{ix}\backslash\:\int\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \mathrm{dx}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}\backslash\int\mathrm{e}^{\mathrm{x}^{\mathrm{2}}…

Advanced-Calculus-0-1-ln-1-1-x-x-3-dx-3-2-3-solution-I-B-P-1-2x-2-ln-3-

Question Number 160734 by mnjuly1970 last updated on 05/Dec/21 You can't use 'macro parameter character #' in math modeΦ=01(ln(11x)x)3dx=?3(ζ(2)+ζ(3))solution$$\:\:\:\:\:\:\:\:\Phi\:\overset{\mathrm{I}.\mathrm{B}.\mathrm{P}} {=}\:\left[\:\frac{\:\mathrm{1}}{\mathrm{2}{x}^{\:\mathrm{2}} }\:{ln}^{\:\mathrm{3}}…