B- Find the area under curve y= (e*/x )dx from x=0 to x=4. use midpoint method with n=4

Q: 3 Approximate the area under the curve y = x° from 2 to x = 4 using a Right Endpoint approximation…

A: f(x)=x3 a=2 and b=4, n=4

Q: Approximate the area under the curve y=1x between x=1 and x=5 using the Trapezoidal Rule with n=4…

A: Width of each interval = (5-1)/4= 4/4=1 So the partitions are 1, 2, 3, 4, 5

Q: y = ln x and x - y -4 = 0

A: Explanation of the answer is as follows

Q: 29) Find the area bounded by the curves y= In x, y = 2 In x and line x-e in the first quadrant.

A: I have given the answer in the next step. Hope you understand that

Q: 8. Find the area between y = sinx cosx and y = sinx, over the interval 0 <x<T

A: Given y=sinx cosx &amp; y=sinx between the limits x=o to x=πTo find area between two curves:

Q: 1.) Calculate the area under the curve y= y= 7- x, from x=- to X= 2

A: Given: y=7-x2  from x=-1 to x=2

Q: Approximate the area under the curve y = x° from x = 0 to x = 2 using a Right Endpoint approximation…

A: We divide the interval [0,2] in 4 sub intervals . And we calculate values of f at right end points…

Q: Approximate the area under the curve y=x^2 from x=1 to x=3 using a Right Endpoint approximation with…

A:

Q: Approximate the area under the curve y = x° from x = 3 to x = 6 using a Right Endpoint approximation…

A:

Q: Approximate the area under the curve y=x^2 from x=0 to x=2 using a Right Endpoint approximation with…

A:

Q: Q4. Find the area between curve y = x - 3x + 2 and x-axis from x =0 to x 2

A:

Q: 2. Find the area between the curves y = Vr -1 and r - y = 1.

A: Given curve is y=√(x-1) and y=x-1

Q: Approximate the area under the curve y-f(x) between x=0 and x=10 using the Trapezoidal Rule with n=5…

A:

Q: Approximate the area under the curve y=x^3 from x=3 to x=5 using a Right Endpoint approximation…

A: we have to find the area under the curve y=x3 from x=3 to x=5 with the use of Right Endpoint…

Q: Approximate the area under the curve y = x from x = 1 to x = 3 using a Right Endpoint approximation…

A: According to question given that y=x2 from x=1 to x=3Using a right endpoint approximation with 4…

Q: |Approximate the area under the curve y = x from x = 2 to x = 4 using a Right Endpoint approximation…

A:

Q: # 8) Find the area under the curve. y 4-x

A:

Q: Approximate the area under the curve y = x' from z = 2 to a = 4 using a Right Endpoint approximation…

A: To approximate the area under the curve y=x3 from x=2 to x=4 using a Right Endpoint approximation…

Q: Approximate the area under the curve y = x from a = =2 to a = 5 using a Right Endpoint approxima…

A: Consider the given case is y=x2, x=a=2 and x=b=5 where n=6. Then, ∆x=b-an=5-26=12 The six sub…

Q: Find the area bounded by the curves y= sin 2x and y=cos 2x in 0,

A:

Q: Find the area bounded by the curve y= lnx, the x– axis, the line x = e². A =1+e?

A: Use area formula

Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: Given query is to find the area of the region bounded by y=4+2x+x2  and x-axis from x=-3 to x=-1

Q: Find the area under curve y= (e*/x )dx from x=0 to x-4. use midpoint method with n=D4

A:

Q: Approximate the area under the curve y = x2 from x = 1 to = 3 using a Right Endpoint approximation…

A: The equation of the curve is  y = x2 To evaluate : The approximate area of the curve from x=1 to x=3…

Q: Approximate the area under the curve y=x^2 from x=0 to x=3 using a Right Endpoint approximation with…

A:

Q: Approximate the area under the curve y=4x2+1 on the integral [0,4] n=4 using the trapezoid rule

A: Given : y = 4x2 + 1  To find : Area under given curve using trapezoid rule . Solution : Approximate…

Q: Find the area bounded by the curve y = Vxe¬v* and the x-axis from x = 0 to x = 4.

A: We want to determine the area bounded by the curve y=Vxe-Vx and the x axis from x=0 to x=4 with…

Q: Find the area above the curve y=lnx in the lower half-plane between x=0 and x=1.

A:

Q: Approximate the area under the curve y = x² from x = 1 to x = 3 using a Right Endpoint approximation…

A:

Q: Approximate the area under the curve y = x³ from x=2 to x = 5 using a Right Endpoint approximation…

A: Right Riemann sum (Right Endpoint approximation): ∫abfxdx=∆xfx1+fx2+fx3+....+fxn-1+fxn Where,…

Q: Find the area between the curve x = y2 and the line x = y + 2 Solution : * with respect to x:

A: Given curves x=y2. . . . 1x=y+2. . . . .2 Equating (1) and (2) y2=y+2y2-y-2=0y-2y+1=0y=2,-1

Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: Approximate the area under the curve y=x^2 from x=3  to x=6 using a Right Endpoint approximation…

A: Given: y=x2

Q: Approximate the area under the curve y = 3 ln(x² + 20) from x = - 9 to z = - 1 with 4 sub- intervals…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Compute the area bounded by curve y = ln x the x - axis and straight line x=e.

A: Let us consider the curve y=f(x) and y=g(x) in the interval a≤x≤b then the area under the curve is…

Q: 8. Find the area in the first quadrant bounded by x = 0 using the most y=x², y = 2-x and appropriate…

A:

Q: Find the area of the region bounded by the curve y = ln x, the x axis, and the line x = e^2

A:

Q: Approximate the area under the curve y=f(x) between x=-1 and x=5 using Simpson's rule with n=6…

A:

Q: Approximate the area under the curve y = x from x = 1 to x = 3 using a Right Endpoint approximation…

A:

Q: Approximate the area under the curve y = x° from x = 3 to x = 5 using a Right Endpoint approximation…

A:

Q: Approximate the area under the curve y = x from x = with 6 subdivisions. 3 to x = 6 using a right…

A:

Q: Approximate the area under the curve y = x? from æ approximation with 6 subdivisions. 1 to a = 4…

A: The given function is y=x2   on  1,4. The area of the curve y=x2 over 1,4 is A=∫14x2 dx.…

Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

A:

Q: Approximate the area under the curve y = x from x = 1 to x = 4 using a Right Endpoint approximation…

A:

Q: Approximate the area under the curve y=x^2 from x=1 to x=4 using a Right Endpoint approximation with…

A:

Q: Find the left-endpoint approximation for the area under the curve f(x) = x2 on the interval [0, 2]…

A: Given

Q: Approximate the area under the curve y = f(x) between x = 0 and x = 10 with n = 5 subintervals…

A: Approximate the area under the curve y = f(x) between x = 0 and x = 10 with n = 5 subintervals…

Q: Find the area of the region between the curve y =53-* and the interval [0,2] on the x-axis.

A:

Q: Approximate the area under the curve y = x² from z = 1 to z = 3 using a Right Endpoint approximation…

A: Given the curve y =x2 from x = 1 to x = 3  We have to approximate the area under the given curve by…

Q: Approximate the area under the curve y = x from x= x³ with 6 subdivisions. = 2 to 5 using a Right…

A: The curve y=x3 from x=2 to x=5 we have to find the area under the curve using Right Endpoint…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.