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

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

Evaluate

$$354670408149750$$

Solution Steps

Multiply 44137115 and 105 to get 4634397075.

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

Multiply 0 and 32 to get 0.

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

Multiply -1 and 0 to get 0.

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

Evaluate the indefinite integral first.

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

Find the integral of 4634397075 using the table of common integrals rule \int a\mathrm{d}x=ax.

$$4634397075x$$

The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.

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

Simplify.

$$354670408149750$$

Differentiate w.r.t. θ

$$0$$