\\(\\int - 5(1+cos(x))^{2}dx\\)
\\(\\int - 5(1+cos(x))^{2}dx\\)
Answer
Answer:
(-5\int(1 + 2\cos(x)+\cos^{2}(x))dx=-5\left(x + 2\sin(x)+\frac{1}{2}x+\frac{1}{4}\sin(2x)\right)+C=- \frac{15}{2}x-10\sin(x)-\frac{5}{4}\sin(2x)+C)
\\(\\int - 5(1+cos(x))^{2}dx\\)
(-5\int(1 + 2\cos(x)+\cos^{2}(x))dx=-5\left(x + 2\sin(x)+\frac{1}{2}x+\frac{1}{4}\sin(2x)\right)+C=- \frac{15}{2}x-10\sin(x)-\frac{5}{4}\sin(2x)+C)