Solve ∫ csc1/4cot1/4dt

$$\int \csc \frac { 1 } { 4 } \cot \frac { 1 } { 4 } d t$$

Evaluate

$$\frac{26262367466205319741305012835089t}{500000000000000000000000000}+С$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\int {229.18384527446622 \cdot 229.1816636094399} dt$$

Find the integral of \frac{229.18384527446622\times 2291816636094399}{10000000000000} using the table of common integrals rule \int a\mathrm{d}t=at.

$$\frac{229.18384527446622\times 2291816636094399}{10000000000000}t$$

Simplify.

$$\frac{26262367466205319741305012835089t}{500000000000000000000000000}$$

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

$$\frac{26262367466205319741305012835089t}{500000000000000000000000000}+С$$

Differentiate w.r.t. t

$$52524.734932410639482610025670178$$