∫ sinz-cosz wrt z-এর সমাধান করুন

$$\int \sin z - \cos z d z$$

মূল্যায়ন করুন

$$-\sin(z)-\cos(z)+С$$

সমাধানের ধাপগুলো

Integrate the sum term by term.

$$\int \sin(z)\mathrm{d}z+\int -\cos(z)\mathrm{d}z$$

Factor out the constant in each of the terms.

$$\int \sin(z)\mathrm{d}z-\int \cos(z)\mathrm{d}z$$

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

$$-\cos(z)-\int \cos(z)\mathrm{d}z$$

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

$$-\cos(z)-\sin(z)$$

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

$$-\cos(z)-\sin(z)+С$$

w.r.t. z পার্থক্য করুন

$$\sin(z)-\cos(z)$$