∫ 7/csc(x) wrt x-এর সমাধান করুন

$$\int{ \frac{ 7 }{ \csc ( x ) } }d x$$

মূল্যায়ন করুন

$$-7\cos(x)+С$$

সমাধানের ধাপগুলো

Factor out the constant using \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.

$$7\int \sin(x)\mathrm{d}x$$

Use \int \sin(x)\mathrm{d}x=-\cos(x) from the table of common integrals to obtain the result.

$$-7\cos(x)$$

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

$$-7\cos(x)+С$$

w.r.t. x পার্থক্য করুন

$$7\sin(x)$$