Find the general indefinite integral. {image}

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Find the general indefinite integral. {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Evaluate the integral. {image} 116.8 252 137.6 504 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

The area of the region that lies to the right of the y-axis and to the left of the parabola {image} (the shaded region in the figure) is given by the integral {image} Find the area of the region. {applet} {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

The velocity function (in meters per second) is given for a particle moving along a line. Find the distance traveled by the particle during the given time interval. {image} -7.5m 124.2m 82.5m 42.5m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car. t ( s ) v ( mi / h ) t ( s ) v ( mi / h ) 0 0 60 52 10 38 70 70 20 55 80 56 30 64 90 49 40 51 100 40 50 61 1.7 miles 1.3 miles 1.4 miles 1.6 miles 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50