Evaluate the definite integral: x²)dx using limit of the Riemann sum.

Q: 51 lox)dx

A: Given an integral : ∫05x3-10xdx We have to find the integral using the limit of Riemann Sum. Let's…

Q: Express the definite integral using summation notation: 4 (3*) dx 1

A: We will convert the given integral into summation notation using Riemann sum ∫14(3x)dx.

Q: Set up the Riemann Sum which represents the area under the curve y = x³ - 2x + 1 from x = 2 to x =…

A: The given curve is  and the interval is  .  .  .

Q: Use the Riemann Sum to find the area of the region bounded by the graph of f(x)=tan(x/6) and the…

A: Sol:- Given function, f (x) =Tanx6 , x -axis, x∈[o,2π]area bounded by given curves = ∫02π Tanx6dxlet…

Q: Evaluate the definite integral: (2 – a²)dx using limit of the Riemann sum.

A:

Q: Evaluate the general indefinite integral using a u- substitution. mous at main. Make sec ) ate the…

A:

Q: Evaluate the integral x°dx by taking the limit of the аppropriate Riemann sum.

A: Riemann sum: by the definition of the definite integral

Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3