Issolvi ∫ (from - 4 to 55) of pi(03226x+30929)^2 wrt x

$$\int _ { - 4 } ^ { 55 } \pi ( 03226 x + 30929 ) ^ { 2 } d x$$

Evalwa

$$56439579419\pi \approx 177310168074.428070068$$

Passi tas-Soluzzjonijiet

Immultiplika 0 u 3226 biex tikseb 0.

$$\int _{-4}^{55}\pi \left(0x+30929\right)^{2}\mathrm{d}x$$

Xi ħaġa mmultiplikata b'żero jirriżulta f'żero.

$$\int _{-4}^{55}\pi \left(0+30929\right)^{2}\mathrm{d}x$$

Żid 0 u 30929 biex tikseb 30929.

$$\int _{-4}^{55}\pi \times 30929^{2}\mathrm{d}x$$

Ikkalkula 30929 bil-power ta' 2 u tikseb 956603041.

$$\int _{-4}^{55}\pi \times 956603041\mathrm{d}x$$

L-ewwel evalwa l-integru indefinit.

$$\int 956603041\pi \mathrm{d}x$$

Sib l-integru ta' 956603041\pi billi tuża t-tabella tar-regola tal-integrali komuni \int a\mathrm{d}x=ax.

$$956603041\pi x$$

L-integru definit huwa l-antiderivattiv tal-espressjoni evalwata fil-limitu superjuri tal-integrazzjoni minus l-antiderivattiv evalwat fil-limitu inferjuri tal-integrazzjoni.

$$956603041\pi \times 55-956603041\pi \left(-4\right)$$

Issimplifika.

$$56439579419\pi$$