Question: MATH 2008 Calculus Class Assignment 4 NAME: Show your work for full marks. Marks 1. Integrate: J (3x2 + 5x)dx 4 2. Integrate ( x

MATH 2008 Calculus Class Assignment 4 NAME: Show your work for full marks. Marks 1. Integrate: J (3x2 + 5x)dx 4 2. Integrate ( x 2 + 3) ' 2 xdx 2 3. Integrate S 5sin* x cos x dx W 4. Integrate S x sec2x2 dx N 5. Integrate the given functions: xdx a) J7 ( 4 - 2 x2 ) 3 4 1531 7. Find the moment of Inertia for a flywheel about it axis as shown in the diagram if the mass is 1.2 kg. 4 8. Find the fluid force on the floodgate shown below if the top is at the surface 20 m 6.0 m 12 m 5 4015 31 xdx b)"'" 4-2:2 931' 8.1: e) I W 0'" 6' Find yin terms of x, given that \"y 2 4x 2 and the curve passes through (1, 4). d .r

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