若∫f'(x^3)dx=x^3+C,则f(x)等于多少
问题描述:
若∫f'(x^3)dx=x^3+C,则f(x)等于多少
如题
答
∫f'(x^3)dx=x^3+C
f'(x^3)=3x²=3(x³)^(2/3)
f′(x)=3x^(2/3)
f(x)=(9/5)x^(5/3)