Definite Integrals, Areas and Volumes: 4 Worked Problems Step by Step

Four exam-style problems solved slowly, step by step: the fundamental theorem and its second half, two areas between curves (including sine and cosine), three volumes of revolution (x-axis, a washer, y-axis), and an arch with its area and volume. In this video: Definite integrals with the fundamental theorem d/dx of an area function Area between a line and a parabola Area between sine and cosine Volumes: discs, washers and the y-axis Worked problems of the Definite Integrals, Areas and Volumes series. For grade 11-12 maths students. Chapters 0:00 Four area and volume problems 0:15 The toolkit 0:44 1 · The fundamental theorem 1:06 1 · Parts (a) and (b) 1:39 1 · Part (c): the other half 1:54 2 · Two areas between curves 2:15 2 · Part (a): line and parabola 2:51 2 · The picture 3:08 2 · Part (b): sine and cosine 3:40 3 · Three volumes 4:06 3 · Part (a) 4:21 3 · Part (b): a washer 4:52 3 · Part (c): the y-axis 5:20 4 · An arch: area and volume 5:39 4 · Part (a): the area 6:04 4 · Part (b): the volume 6:37 4 · The picture Course: Mathematics, Grade 11-12 · Mathematics, Grade 11-12 - Calculus: worked problems on the fundamental theorem, area between curves and volumes of revolution Narration: synthetic (text-to-speech) voice. #Calculus #WorkedSolutions #MathsExamPrep