Expand the integral $\int\left(\cos\left(x\right)^2-\cos\left(x\right)^{4}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
The integral $\int-\cos\left(x\right)^{4}dx$ results in: $\frac{-\cos\left(x\right)^{3}\sin\left(x\right)}{4}-\frac{3}{4}\left(\frac{1}{2}x+\frac{1}{4}\sin\left(2x\right)\right)$
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.