Lutasin ang ∫ 1/(cos^2frac{1{2}+sinpi/2)}

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

I-evaluate

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

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$\int {\frac{1}{{(0.9999619230641713 ^ {2} + \sin(\frac{\pi}{2}))}}} dx$$

Kalkulahin ang 0.9999619230641713 sa power ng 2 at kunin ang 0.99992384757819564210293775574369.

$$\int \frac{1}{0.99992384757819564210293775574369+\sin(\frac{\pi }{2})}\mathrm{d}x$$

Kunin ang halaga ng \sin(\frac{\pi }{2}) mula sa talahanayan ng trigonometric values.

$$\int \frac{1}{0.99992384757819564210293775574369+1}\mathrm{d}x$$

Idagdag ang 0.99992384757819564210293775574369 at 1 para makuha ang 1.99992384757819564210293775574369.

$$\int \frac{1}{1.99992384757819564210293775574369}\mathrm{d}x$$

I-expand ang \frac{1}{1.99992384757819564210293775574369} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100000000000000000000000000000000.

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

Hanapin ang integral ng \frac{100000000000000000000000000000000}{199992384757819564210293775574369} gamit ang alituntunin ng talahanayan ng mga karaniwang integral \int a\mathrm{d}x=ax.

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

Kung ang F\left(x\right) ay isang antiderivative ng f\left(x\right), kung gayon ang hanay ng lahat ng antiderivatives ng f\left(x\right) ay ibinibigay ng F\left(x\right)+C. Kaya naman, idagdag ang constant ng integration C\in \mathrm{R} sa resulta.

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

I-differentiate ang w.r.t. x

$$\frac{100000000000000000000000000000000}{199992384757819564210293775574369} = 0.5000190388303777$$