3 years ago

Find ∫x√(1-x)dxplease someone help me

Mathematics

1 answer:

spin [16.1K]3 years ago

4 0

Answer:

⅖ (1 − x)^(5/2) − ⅔ (1 − x)^(3/2) + C

Step-by-step explanation:

∫ x√(1 − x) dx

If u = 1 − x, then x = 1 − u, and dx = -du.

∫ (1 − u) √u (-du)

∫ (u − 1) √u du

∫ (u^(3/2) − u^(1/2)) du

⅖ u^(5/2) − ⅔ u^(3/2) + C

⅖ (1 − x)^(5/2) − ⅔ (1 − x)^(3/2) + C

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Find ∫x√(1-x)dxplease someone help me​ ​

Find ∫x√(1-x)dxplease someone help me