Mathematics
Senior High
Solved

これの積分した形を終えてください

Sö√5-7 dx

Answers

✨ Best Answer ✨

5-x=tとおくと
-dx=dtよりdx=-dt
また
x:0→5
t:5→0
よって
∫⁵₀√(5-x)dx
=∫⁰₅√t(-dt)
=∫⁵₀(√t)dt
=[(2/3)t^(3/2)]⁵₀
=(2/3)5^(3/2)
=(2/3)√(5³)

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