[{"plain_text":"Let S be the region bounded by the graph of the polar curve r()=3 (^2) for 0 <= <=, as shown in the figure above.","content_segments":[{"text":"Let S be the region bounded by the graph of the polar curve ","type":"text"},{"renderMode":"math","plain_text":"r()=3 (^2)","render_mode":"math","display":false,"plainText":"r()=3 (^2)","type":"math","latex":"r(\\theta)=3 \\sqrt{\\theta} \\sin \\left(\\theta^{2}\\right)"},{"text":" for ","type":"text"},{"renderMode":"math","plain_text":"0 <= <=","render_mode":"math","display":false,"plainText":"0 <= <=","type":"math","latex":"0 \\leq \\theta \\leq \\sqrt{\\pi}"},{"text":", as shown in the figure above.","type":"text"}],"plainText":"Let S be the region bounded by the graph of the polar curve r()=3 (^2) for 0 <= <=, as shown in the figure above.","mathpixNormalized":true,"type":"text","contentSegments":[{"text":"Let S be the region bounded by the graph of the polar curve ","type":"text"},{"renderMode":"math","plain_text":"r()=3 (^2)","render_mode":"math","display":false,"plainText":"r()=3 (^2)","type":"math","latex":"r(\\theta)=3 \\sqrt{\\theta} \\sin \\left(\\theta^{2}\\right)"},{"text":" for ","type":"text"},{"renderMode":"math","plain_text":"0 <= <=","render_mode":"math","display":false,"plainText":"0 <= <=","type":"math","latex":"0 \\leq \\theta \\leq \\sqrt{\\pi}"},{"text":", as shown in the figure above.","type":"text"}],"content":"Let S be the region bounded by the graph of the polar curve \\(r(\\theta)=3 \\sqrt{\\theta} \\sin \\left(\\theta^{2}\\right)\\) for \\(0 \\leq \\theta \\leq \\sqrt{\\pi}\\), as shown in the figure above.","mathpix_normalized":true},{"plain_text":"Find the area of S.","content_segments":[{"text":"Find the area of S.","type":"text"}],"plainText":"Find the area of S.","mathpixNormalized":true,"type":"text","contentSegments":[{"text":"Find the area of S.","type":"text"}],"content":"Find the area of S.","mathpix_normalized":true}]

CHA-5.D—Calculate areas of regions defined by polar curves using definite integrals question 1