∫ wrt z/1+x^4-এর সমাধান করুন

$$\int \frac { d z } { 1 + x ^ { 4 } }$$

মূল্যায়ন করুন

$$\frac{z}{x^{4}+1}+С$$

সমাধানের ধাপগুলো

Find the integral of \frac{1}{1+x^{4}} using the table of common integrals rule \int a\mathrm{d}z=az.

$$\frac{z}{1+x^{4}}$$

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.

$$\frac{z}{1+x^{4}}+С$$

w.r.t. x পার্থক্য করুন

$$-\frac{4zx^{3}}{\left(x^{4}+1\right)^{2}}$$