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Integral dari $$$u^{\frac{11}{4}}$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int u^{\frac{11}{4}}\, du$$$.
Solusi
Terapkan aturan pangkat $$$\int u^{n}\, du = \frac{u^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ dengan $$$n=\frac{11}{4}$$$:
$${\color{red}{\int{u^{\frac{11}{4}} d u}}}={\color{red}{\frac{u^{1 + \frac{11}{4}}}{1 + \frac{11}{4}}}}={\color{red}{\left(\frac{4 u^{\frac{15}{4}}}{15}\right)}}$$
Oleh karena itu,
$$\int{u^{\frac{11}{4}} d u} = \frac{4 u^{\frac{15}{4}}}{15}$$
Tambahkan konstanta integrasi:
$$\int{u^{\frac{11}{4}} d u} = \frac{4 u^{\frac{15}{4}}}{15}+C$$
Jawaban
$$$\int u^{\frac{11}{4}}\, du = \frac{4 u^{\frac{15}{4}}}{15} + C$$$A