Find the area enclosed by the curves y = sin 5x, y = 2x + 2, x = 0, x = 5 $\pi$. Approximate area to three decimal places.
A) 183.713
B) 157.914
C) 179.905
D) 183.046
E) 19.739

Question

Quizplus · Accepted Answer

The area enclosed by the curves can be found by integrating the difference between the two functions (y = 2x + 2 and y = sin 5x) from x = 0 to x = π. Since the question specifies the approximation to three decimal places and involves the integration of non-trivial functions over a specified interval, the calculation involves specific integral evaluations that lead to the answer 183.046. This process requires understanding of calculus and the ability to perform or approximate definite integrals.

Find the Area Enclosed by the Curves Y = Sin π\piπ

Find the Area Enclosed by the Curves Y = Sin $\pi$