Revisi per 4 April 2021 14.55 sunting Akuindo (bicara \| kontrib) 43.425 suntingan →‎Fungsi irrasional ← Revisi sebelumnya		Revisi per 5 April 2021 09.29 sunting balikkan Akuindo (bicara \| kontrib) 43.425 suntingan Tidak ada ringkasan suntingan Revisi selanjutnya →
Baris 65: === Fungsi irrasional === {{Main\|Daftar integral dari fungsi irrasional}} :<math>\int {dx \over \sqrt{a^2-x^2}} = \~~sin^{-1}~~arsin {x \over a} + C</math> :<math>\int {-dx \over \sqrt{a^2-x^2}} = \~~cos^{-1}~~arcos {x \over a} + C</math> :<math>\int {dx \over a^2+x^2} = {1 \over a} \~~tan^{-1}~~artan {x \over a} + C</math> :<math>\int {-dx \over a^2+x^2} = {1 \over a} \~~cot^{-1}~~arcot {x \over a} + C</math> :<math>\int {dx \over x \sqrt{x^2-a^2}} = {1 \over a} \~~sec^{-1}~~arsec {\|x\| \over a} + C</math> :<math>\int {-dx \over x \sqrt{x^2-a^2}} = {1 \over a} \~~csc^{-1}~~arcsc {\|x\| \over a} + C</math> === Fungsi logaritma === Baris 107: :<math>\int \tanh x \, dx = \ln\| \cosh x \| + C</math> :<math>\int \mbox{csch}\,x \, dx = \ln\left\| \tanh {x \over2}\right\| + C</math> :<math>\int \mbox{sech}\,x \, dx = \~~arctan~~artan (\sinh x) + C</math> :<math>\int \coth x \, dx = \ln\| \sinh x \| + C</math> Baris 115: : <math>\int \operatorname{arcosh} x \, dx = x \operatorname{arcosh} x - \sqrt{x^2-1} + C</math> : <math>\int \operatorname{artanh} x \, dx = x \operatorname{artanh} x + \frac{1}{2}\log{(1-x^2)} + C</math> : <math>\int \operatorname{~~arcsch~~arsch}\,x \, dx = x \operatorname{arcsch} x+ \log{\left[x\left(\sqrt{1+\frac{1}{x^2}} + 1\right)\right]} + C</math> : <math>\int \operatorname{arsech}\,x \, dx = x \operatorname{arsech} x- \arctan{\left(\frac{x}{x-1}\sqrt{\frac{1-x}{1+x}}\right)} + C</math> : <math>\int \operatorname{arcoth} \, dx = x \operatorname{arcoth} x+ \frac{1}{2}\log{(x^2-1)} + C</math>

Tabel integral: Perbedaan antara revisi