Calculate the integral of f(x)=In(1+cos(x)) from a=0 to b=1 by using - Multiple-application trapezoidal rule with three equal segments - Multiple-application Simpson's 1/3 rule with n=6

Q: Find the exact value of the definite integral below, using the substitution -1/2 X U = x- Let u = x…

A: Explanation of the answer is as follows

Q: 19) Derive a one point integration formula to estimate the integral f (x) dx.

A:

Q: Evaluate the integral I= [²₁x² + cos compare with exact solution. dx using two point and three-point…

A:

Q: Use integration by parts to evaluate the integral: fe-t sin( e-tsin(-10t)dt 1 - [ 101 sin(-10t) +…

A:

Q: 7) Evaluate the integrals a) 3(x + 1)²dx b) secx (tanx +cosx )dx

A: An indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that…

Q: Calculate the line integral [F•dr, where F = 3x°yi + x'j in two cases for C1 and C2. These two…

A: The given vector is F=3x2yi+x3j Here we use Green's theorem. So the Green's theorem is…

Q: Estimate the minimum number of subintervals needed to approximate the integral dx with an error of…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: dy cosx+ ysin x =1 dx

A:

Q: -16 dx 1. X=2 sec(e) 2. x= 2sin(e) 4-X dx 3. X= 4tan(e) 4. X= 4sec(e) SV16+ x² dx x²-4 dx

A: See the details solution in below

Q: Find the quadratic approximation at (0,0) for f(x,y) = ln(1+x^2 + y^2).

A:

Q: (b) 3 – cos(x) 2

A: Follow the procedure given below.

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.