∫4x7dx=....\int4x^7dx=....∫4x7dx=....
18x8+C\frac{1}{8}x^8+C81x8+C
47x7+C\frac{4}{7}x^7+C74x7+C
12x8+C\frac{1}{2}x^8+C21x8+C
14x8+C\frac{1}{4}x^8+C41x8+C
12x7+C\frac{1}{2}x^7+C21x7+C
Pada integral di atas, n=7n=7n=7
Untuk f(x)=axn, n≠−1f\left(x\right)=ax^n,\ n\ne-1f(x)=axn, n=−1 maka:
∫axndx=an+1xn+1+C\int ax^ndx=\frac{a}{n+1}x^{n+1}+C∫axndx=n+1axn+1+C
∫4x7dx=47+1x7+1+C\int4x^7dx=\frac{4}{7+1}x^{7+1}+C∫4x7dx=7+14x7+1+C
=48x8+C=\frac{4}{8}x^8+C=84x8+C
=12x8+C=\frac{1}{2}x^8+C=21x8+C
Jadi, hasil integral fungsi tersebut adalah 12x8+C\frac{1}{2}x^8+C21x8+C