Find the integration distance (f, g) =| f(x)g(x) dx between the given polynomials. f(x) = 6x + 2, g(x) = 3x %3D - d(f,g) = Ex: 1.23

Q: s(t) = (3t1/2+2)(5t1/3+1). Find the derivative of the function using the product rule and simplify…

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Q: Let f(x) = V9x – 10 . Determine f-(x). f-(x)%3D

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Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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Q: Find f′(x) and f′(c). Function f(x) = (x − 4)/(x + 4) Value of c = 3

A: Now differentiating with respect to x, we get

Q: F = (2+-1) dt

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Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: (X),4 %3D (b) Compute the derivative of f(x). (g) 4 (x)J – (4 + x) 10xh + 5h“ – x + 8 8 + x – 2. (a)…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.