Math  /  Calculus

QuestionWrite an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. r=7sin(θ)r=7 \sin (\theta) (i) A=0()dθA=\int_{0}^{\square}(\square) d \theta

Studdy Solution
Write the integral expression for the area of the shaded region using the identified limits and the given function r=7sin(θ) r = 7 \sin(\theta) :
A=120π2(7sin(θ))2dθ A = \frac{1}{2} \int_{0}^{\frac{\pi}{2}} (7 \sin(\theta))^2 \, d\theta
The integral that represents the area of the shaded region is:
A=120π2(7sin(θ))2dθ A = \frac{1}{2} \int_{0}^{\frac{\pi}{2}} (7 \sin(\theta))^2 \, d\theta

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