Solve the integral. \int_{0}^{1}\arcsin x dx

Wotzdorfg 2021-10-28 Answered
Solve the integral.
01arcsinxdx
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Expert Answer

hesgidiauE
Answered 2021-10-29 Author has 106 answers
Step 1
Consider the given integral 01arcsinxdx.
Let u=arcsinx, and dv=1.
That implies,
du=11x2, and dv=x.
Step 2
Apply integration by parts theorem and solve further.
01arcsinxdx=[xarcsin(x)x1x2dx]01
=[xarcsin(x)(1x2)]01
=[xarcsin(x)+1x2]01
=π21
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