What is the integration of 8x^4|x|^3?

2017-09-25 3:53 pm

回答 (1)

2017-09-25 4:33 pm
8x⁴|x|³ =
{ -8x⁷, x < 0
{ 8x⁷, x ≥ 0

∫ 8x⁴|x|³ dx =
{ -8x⁸ + C, x < 0
{ 8x⁸ + C, x ≥ 0

Equivalently, you could write it like this:

∫ 8x⁴|x|³ dx = 8x⁸sgn(x) + C


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