求定积分.∫dx/（根号（7+6x-x^2))的解题过程,上限1下限0

Question

求定积分.∫dx/（根号（7+6x-x^2))的解题过程,
上限1下限0

Answer 1

∫dx/√（7+6x-x^2)
=∫dx/√[16-(x-3)^2]
=arcsin[(x-3)/4]+C