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Evaluate the following: intx^3e^xdx |
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Answer» SOLUTION :`intx^3e^xdx=x^3e^x-int3x^2e^xdx` =`x^3e^x-3{x^2e^x-int2xe^xdx` =`x^3e^x-3x^2e^x+6intxe^xdx` =`x^3e^x-3x^2e^x+6{x.e^x-int1.e^xdx}` =`x^3e^x-3x^2e^x+6xe^x-6e^x+C` |
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