Riješi ∫ 1/(cos^2frac{1{2}+sinpi/2)}

$$\int \frac { 1 } { ( \cos ^ { 2 } \frac { 1 } { 2 } + \sin \frac { \pi } { 2 } ) }$$

Procijeni

$$\frac{100000000000000000000000000000000x}{199992384757819564210293775574369}+С$$

Koraci za rješenje

Evaluate trigonometric functions in the problem

$$\int {\frac{1}{{(0,9999619230641713 ^ {2} + \sin(\frac{\pi}{2}))}}} dx$$

Izračunajte 0,9999619230641713 stepen od 2 i dobijte 0,99992384757819564210293775574369.

$$\int \frac{1}{0,99992384757819564210293775574369+\sin(\frac{\pi }{2})}\mathrm{d}x$$

Dobijte vrijednost \sin(\frac{\pi }{2}) iz tabele trigonometrijske vrijednosti.

$$\int \frac{1}{0,99992384757819564210293775574369+1}\mathrm{d}x$$

Saberite 0,99992384757819564210293775574369 i 1 da biste dobili 1,99992384757819564210293775574369.

$$\int \frac{1}{1,99992384757819564210293775574369}\mathrm{d}x$$

Proširite \frac{1}{1,99992384757819564210293775574369} množenjem i brojioca i dijeljenika sa 100000000000000000000000000000000.

$$\int \frac{100000000000000000000000000000000}{199992384757819564210293775574369}\mathrm{d}x$$

Pronađite integral \frac{100000000000000000000000000000000}{199992384757819564210293775574369} koristeći tablicu pravila zajedničkih integrala \int a\mathrm{d}x=ax.

$$\frac{100000000000000000000000000000000x}{199992384757819564210293775574369}$$

Ako je F\left(x\right) antiderivat f\left(x\right), onda je set svih antiderivata f\left(x\right) dat F\left(x\right)+C. Stoga, dodajte konstantnu integraciju C\in \mathrm{R} na rezultat.

$$\frac{100000000000000000000000000000000x}{199992384757819564210293775574369}+С$$

Razlikovanje u pogledu x

$$\frac{100000000000000000000000000000000}{199992384757819564210293775574369} = 0,5000190388303777$$