Please can you solve all please 42. Integrate (7x³ + 4x²) dx.7x3 4x4a.+4b.4x4C.3+ C***+7x+CΠ43. Integrate Jễ sinxdx.a. 0.335b. 0.355+++c. 0.533d. 0.53544. What is the area between y = 0. y 3x2, x = 0 and x= 2?a. 2.3b. 645. Integrate 2x45x²-4 dxf √ x²a.4x²+x+5x¹ + Cb. 5x2+x+4x¹ +Cc. 6.33d. 8c. x²+5x+4x¹ + Cd. x²-5x+4x¹ + C46. Find the volume of the solid generated when the areabounded by the curve y²=x, the x-axis and the line x= 2 is revolved about the x-axis.a.4πC.b. 3лd. 247. Find the moment of inertia with respect to x-axis ofthe area bounded by the parabola y² and the line x =1.a.2.13b. 2.03c. 2.33d. 2.5348. Find the work done on a spring when you compress itfrom its natural length of 1 m to a length of 0.75 m ifthe spring constant is k = 16 N/m.a. 5 Jb. 12 Jc. 8 Jd. 0.5 J49. A leaky bucket weighing 5N is lifted 20 m into the airat a constant speed. The bucket starts with 2 N ofwater and leaks at a constant rate. It finishes drainingjust as it reaches the top. How much work was donelifting the water. Assume that the weight of the ropeis negligible.a.40 Jb.20 Jc. 2 Jd. 0,5 J50. A snail travels with velocity v(t) = 2 + 0.5sin(t). Howfar does the snail travel from t-x/2 s tot 2x sa11b. 9c. 7d. 13

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Since you have posted multiple questions in this question which are not interlinked so i have solved…

42. Integrate (7x³ + 4x²) dx. a. b. C. 7x+4x+C 7x+4x²+C 3 C. 3 3 7x3 d. 4 3 7x+4x+C 3