Q3. Evaluate f: 2*+1-5x-1 dx 10

Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

Q: Suppose f(2) = 4, f' (2) = 5, f(-3) = 2, f' (-3) = -2, and dH H(x) = f(x² – 7). Find dx |x=2 Н (2)…

A:

Q: Differentiate f(x) = (3x)n() for r > 0. %3D

A: To differentiate (variable)(variable) ,  we need to take logarithm both the side then to…

Q: c. Use antidifferentiation to find f (x).

A: Since, we have asked for solving part-(c) only.Since here it is given that f'(x)=x2 ln x -(i)Here…

Q: dy Find for the following functions dx (i) y = (2x³ + 3x + 8)º (ii) y = esin(2x²+3x–2)

A:

Q: 2) Evaluate f x³e*dx

A: To evaluate the given integral.

Q: (b) Evaluate f, /2+ ]x| dx by method of substitution.

A: Break integral into two part then solve

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A: The given function is fx=2x3-15x2+36x-27. The main objective is to find the intervals where the…

Q: If  f is continuous and  ∫04 f(x)  dx  =10 find∫02f (2x)  dx,

A: Given:

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y =

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: Given f(x,y) = x²y-3xy³. Evaluate 2 S₁² 0 fdx

A: Follow the procedure given below.

Q: Calculate M6 for f(x) = v3x over [2, 5]. (Use decimal notation. Give your answer to two decimal…

A:

Q: | xf(x2) dx. If f is continuous and f(x) dx = 4, find

A:

Q: Find for the following function. dx2 y=e -6x2 %3D dx2

A:

Q: f(x) : 4 6 5

A:

Q: Find De f Re ー X - 2 2SXミ-1 y = P(x) = ーX+2

A: The domain of a function f(x) is the set of all values of x at which the function is defined i. e…

Q: Q5: - Find dx for the following functions: 1) y = 3x? – 2vx+ 5

A: Apply the differentiation formula to find dydx for the given function. Differentiate the given…

Q: Q7 Evaluate: 2x J dx 2x +3x+2

A:

Q: Which of the following is an antiderivative of f(x) = 12x³ - 9x2 + 8x – 3?

A:

Q: nd fogoh. f(x) = x – 8, g(x) = Vx, h(x) = x – 8 %3D

A: Sove function as general

Q: Q2.Let The deswative f ù f CaJ= %3D

A: The objective is to find the derivative of the function.

Q: ff is continuous and f(x) dx = 19, evaluate f(2x) dx.

A: Given that a integration and we solve use these integration to another integral value.     Here i…

Q: If f(1) = 12, f' is continuous, and f'(x) dx = 17, what is the value of f(4)?

A: topic - definite integration

Q: --2 -3- [ f(2)dx = f(x)dæ = to

A:

Q: dx Q3\evaluate f x2 In x? in xi+ Vx V1+x

A: Integration is the reverse process of the derivative and also called as Antiderivative.

Q: Q3) prove that: fa+¹h f(x).dx h 2h 4h - = 3 [ƒ (a) + f(a + 4h)] + f(a+2h) + [f(a+h) + f(a + 3h)] 3 3

A: Introduction: Numerical integration is a word utilized in evaluation to explain a set of strategies…

Q: Calculate R5, M5, and L5 for f (x) = (x2 + 1)−1 on the interval [0, 1].

A:

Q: dy Find for the following functions: dx 2 y= x³+ +x -3 -3 to

A:

Q: 2. Let f(x) = 2x – 4 a) Find f(x)dx

A:

Q: Q11: Let f(x)=xr° + 3x³ d +x-10. Find dx (5"(48) .

A:

Q: What is the antiderivative of f'(r) = - 4x + 3

A:

Q: If f is continuous and f(x) dx = 10, find f(3x) dæ.

A:

Q: If  f is continuous and  ∫09 f(x)  dx  =4  find∫03 xf (x2)  dx,

A: Given that,

Q: Suppose | f(x)dx = 3 and f(x)dr = -7. Find 2f(x)dx. 8

A:

Q: 5. Find the antiderivative of the function and check your answer by differentiating. f(x) = 9x +…

A: 5. We need to evaluate the antiderivative of the following function fx = 9x+15x-2

Q: Q5: Evaluate f(secx)³ dx

A:

Q: Approximate V126 using Ay f'(x) · Ax

A: Given,  126

Q: If f(2) = 11, f' is continuous, and f "(x) dx = 18, what is the value of f(4)? f(4) =

A: Solve the given problem.

Q: dx = 2, evaluate If (f(x) dx = 5 and -1 f(x)| dx + f(x) dx. (Jan 18) х +

A: Integrating a function within specific limits of the variable is called definite integration. The…

Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

A:

Q: If f(1) = 13, f' is continuous, and F'(x) dx = 18, what is the value of f(6)?

A:

Q: B) Find () for the following functions: Sy = 3 dx 5y2 1) x³ + 4x/y

A: B) 1 Given: x3+4xy-5y2x=3 To find: dydx

Q: 2. Determine the following: F +(16x)| dx X5 С. + (16x)a| dx x2 d. [[tan(2x – 5) + 8e-*]dx

A: Given integration

Q: Q5: Find for the following fun dx (1) In(x - y) = xy + y² ;

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If f(1) = 11, f' is continuous, and f(3) = f '(x) dx = 18, what is the value of f(3)?

A: Given

Q: dx (b): Evaluate the Jo (1+x)(2+x)/x(1-x)

A:

Q: find the derivtive of f(x) = x 2

A:

Q: Compute f dx. r2 el/¤ x²

A:

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.