求不定积分 ∫dh/根号2h
问题描述:
求不定积分 ∫dh/根号2h
答
∫ dh/√(2h)= (1/2)∫ d(2h)/√(2h)= (1/2)∫ (2h)^(-1/2) d(2h)= (1/2) * (2h)^(-1/2+1) / (-1/2+1) + C= (1/2) * (2h)^(1/2) / (1/2) + C= (1/2) * 2√(2h) + C= √(2h) + C