Exercise
$\int_0^{2\pi}\left(\frac{5\sqrt{5}-1}{3}\cos^2\left(x\right)+2\sin\left(x\right)\right)dx$
Step-by-step Solution
Learn how to solve one-variable linear inequalities problems step by step online. Integrate the function (5*5^(1/2)-1)/3cos(x)^2+2sin(x) from 0 to 2pi. Simplify the expression. The integral \int_{0}^{2\pi }\frac{\left(\sqrt{\left(5\right)^{3}}-1\right)\cos\left(x\right)^2}{3}dx results in: \frac{2326453986.8060226\sqrt{\left(5\right)^{3}}}{2221599911.256153}-\frac{118.308359}{112.9761608}+\frac{\sin\left(4\pi \right)\sqrt{\left(5\right)^{3}}-\sin\left(4\pi \right)}{12}. Gather the results of all integrals. The integral \int_{0}^{2\pi }2\sin\left(x\right)dx results in: -2\cos\left(2\pi \right)+2.
Integrate the function (5*5^(1/2)-1)/3cos(x)^2+2sin(x) from 0 to 2pi
Final answer to the exercise
$\frac{\sin\left(4\pi \right)\sqrt{\left(5\right)^{3}}-\sin\left(4\pi \right)}{12}+\frac{107.6439627}{112.9761608}+\frac{2326453986.8060226\sqrt{\left(5\right)^{3}}}{2221599911.256153}-2\cos\left(2\pi \right)$