∫ intsinxcosxtanx wrt xdy-এর সমাধান করুন

$$\int \int \sin x \cos x \tan x d x d y$$

মূল্যায়ন করুন

$$\frac{y\left(-\sin(2x)+2x\right)}{4}+Сy+С_{1}$$

সমাধানের ধাপগুলো

Find the integral of \int \frac{\cos(x)\left(\sin(x)\right)^{2}}{\cos(x)}\mathrm{d}x using the table of common integrals rule \int a\mathrm{d}y=ay.

$$\int \frac{\cos(x)\left(\sin(x)\right)^{2}}{\cos(x)}\mathrm{d}xy$$

সিমপ্লিফাই।

$$\left(\frac{x}{2}-\frac{\sin(2x)}{4}+С\right)y$$

If F\left(y\right) is an antiderivative of f\left(y\right), then the set of all antiderivatives of f\left(y\right) is given by F\left(y\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$\left(\frac{x}{2}-\frac{\sin(2x)}{4}+С\right)y+С$$

w.r.t. x পার্থক্য করুন

$$y\left(\sin(x)\right)^{2}$$