and A solid is generated by rotating a plane region that is bounded by the curves y = 2² = y about the x-axis. If the volume can be found by the equation V = S° ¤[(√x)² – (x²)²]dx then what are the values of a and b. respectively? O [-1.0] [1,4] O [0, 1] O [-2.4]

Q: x² √x² - 9 s dx

A:

Q: Consider the integral dx, (x² + a²)³/2 where a is a positive real number.

A:

Q: 2. Find the centroid of the area bounded by y = 4x – x² and the x axis. a. Sketch the area and find…

A:

Q: y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤ π

A:

Q: attatched

A: Topic:- application of integration

Q: 1. The shaded regions R₁ and R₂, shown below, are enclosed by the graphs of f(x)=-x² and g(x)=-2*.…

A:

Q: 6. Integrate , v4 – x² dx using trapezoids. Divide[-2,2] into 20 subintervals. Give the answer…

A: Given that, the function is fx=4-x2 and the value of a=-2 and b=2 and n=20. Note that, the formula…

Q: Find the volume of the solid of revolution generated by revolving y = √49-x² from x = -7 to x = 7…

A:

Q: Evaluate these definite integrals: L, ¢x³ – 3x + 2) dx a. 2e b. S"( cosx – ) dx (Vz – z) dz с.

A:

Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…