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Integral dari $$$\operatorname{csch}^{2}{\left(x \right)}$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int \operatorname{csch}^{2}{\left(x \right)}\, dx$$$.
Solusi
Integral dari $$$\operatorname{csch}^{2}{\left(x \right)}$$$ adalah $$$\int{\operatorname{csch}^{2}{\left(x \right)} d x} = - \coth{\left(x \right)}$$$:
$${\color{red}{\int{\operatorname{csch}^{2}{\left(x \right)} d x}}} = {\color{red}{\left(- \coth{\left(x \right)}\right)}}$$
Oleh karena itu,
$$\int{\operatorname{csch}^{2}{\left(x \right)} d x} = - \coth{\left(x \right)}$$
Tambahkan konstanta integrasi:
$$\int{\operatorname{csch}^{2}{\left(x \right)} d x} = - \coth{\left(x \right)}+C$$
Jawaban
$$$\int \operatorname{csch}^{2}{\left(x \right)}\, dx = - \coth{\left(x \right)} + C$$$A