Question

fx^3dx＝

Answer 1

问：fx^3dx＝

答：亲亲，您好哦，这是一个积分问题，答案为fx^3dx = (f/4)x^4 + C，其中C为常数项，f为原函数。这个答案可以通过积分的不定性质来求解，具体的过程如下：假设f(x)为被积函数，则fx^3dx的不定积分为:∫fx^3dx = ∫f(x) * x^3dx我们可以使用换元法，令t=x^4，dt/dx=4x^3，则有dx = 1/(4x^3) dt将x^3dx替换为1/(4t) dt，得到：∫fx^3dx = ∫f(x) * x^3dx = ∫f(x) * (1/4t) dt通过简单的运算，我们可以得到：∫fx^3dx = (f/4) ∫dt/t + C∫fx^3dx = (f/4)ln|t| + C∫fx^3dx = (f/4)ln|x^4| + C∫fx^3dx = (f/4) * 4ln|x| + C∫fx^3dx = (f/4)ln|x^4| + C∫fx^3dx = (f/4) * 4ln|x| + C化简可得：∫fx^3dx = (f/4)x^4 + C因此，fx^3dx的积分结果为(f/4)x^4 + C。