Gryno formulė: Skirtumas tarp puslapio versijų
Ištrintas turinys Pridėtas turinys
425 eilutė:
:<math>m=\int_0^5 \gamma \sqrt{1+[y']^2} dx=\int_0^5 (x+y)^2\sqrt{1+[y']^2} dx=\int_0^5 (x+x^2)^2 \sqrt{1+4x^2} dx=</math>
:<math>=\frac{1}{7680}\left( 2\sqrt{4x^2+1} (640x^5+1536x^4+1000x^3+128x^2+105x-64)-105\text{arcsinh}(2x)\right)|_0^5=</math>
:<math>=\frac{1}{7680}\left( 2\sqrt{101} (2000000+960000+125000+3200+525-64)-105\text{arcsinh}(10)\right)-\frac{1}{7680}\left( 2\sqrt{1}\cdot (-64)-105\text{arcsinh}(0)\right)=</math>
== Taip pat skaitykite ==
|