Mathematics

Mathematics

Problem

∫x5⋅ex2 dx=\int x^5\cdot e^{x^2}\,dx = (a) 12x4ex2−x2ex2+ex2+c\frac{1}{2}x^4e^{x^2} - x^2e^{x^2} + e^{x^2} + c (b) 12x4ex2+x2ex2+ex2+c\frac{1}{2}x^4e^{x^2} + x^2e^{x^2} + e^{x^2} + c (c) 12x4ex2−x2ex2−ex2+c\frac{1}{2}x^4e^{x^2} - x^2e^{x^2} - e^{x^2} + c (d) None of these (a) 12x4ex2−x2ex2+ex2+c\frac{1}{2}x^4e^{x^2} - x^2e^{x^2} + e^{x^2} + c (b) 12x4ex2+x2ex2+ex2+c\frac{1}{2}x^4e^{x^2} + x^2e^{x^2} + e^{x^2} + c (c) 12x4ex2−x2ex2−ex2+c\frac{1}{2}x^4e^{x^2} - x^2e^{x^2} - e^{x^2} + c (d) None of these

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