Issolvi ∫ (from 8990 to 85520) of 44137115*105-032sinθ)*sinθcosθdθ

$$\int _ { 8990 } ^ { 85520 } 44137115 \times 105 - 032 \sin \theta ) \times \sin \theta \cos \theta d \theta$$

Evalwa

$$354670408149750$$

Passi tas-Soluzzjonijiet

Immultiplika 44137115 u 105 biex tikseb 4634397075.

$$\int _{8990}^{85520}4634397075-0\times 32\sin(\theta )\mathrm{d}x$$

Immultiplika 0 u 32 biex tikseb 0.

$$\int _{8990}^{85520}4634397075-0\sin(\theta )\mathrm{d}x$$

Immultiplika -1 u 0 biex tikseb 0.

$$\int _{8990}^{85520}4634397075+0\sin(\theta )\mathrm{d}x$$

L-ewwel evalwa l-integru indefinit.

$$\int 4634397075\mathrm{d}x$$

Sib l-integru ta' 4634397075 billi tuża t-tabella tar-regola tal-integrali komuni \int a\mathrm{d}x=ax.

$$4634397075x$$

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

$$4634397075\times 85520-4634397075\times 8990$$

Issimplifika.

$$354670408149750$$

Iddifferenzja w.r.t. θ

$$0$$