Use the composite Trapezoidal rule with n =5 to approximate In (x + 3)dx 138629436 O 10961229 12490627 Non

Q: S x²(csc2x³)(cot2x³)dx

A:

Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: x² + 1 dz x +1 ,2

A:

Q: Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

A: Given:        ∫02x2+1dx       n=4 , a=0, b=2   Midpoint Rule…

Q: Use the trapezoid rule withn=4 to estimate dx . Answer must be in fraction.

A:

Q: Evaluate: dx x? +9 (3) (4) 5, x? In x dx

A:

Q: d A) show that: (x³) = 3x² . dx

A:

Q: 4.2 Reduction of Order In problems 20 to 22, the indicated function y,(x) is a solution of the given…

A:

Q: Q2: Evaluate the following b) fe-x³ dx

A:

Q: 5) S dx X5V9X2-1

A:

Q: x2 dx Lo (x2+3)²

A:

Q: Evaluate : ((x + Vx² +1) dx.

A: To find ∫x+x2+1ndx

Q: 412 +9t+8 Show that 2.546, (t+2)(t+1)2 correct to 4 significant figures.

A:

Q: In x dx = n a, (a>0) 2a 23. Show that

A: Definite integration is the area of a region that is enclosed by the integrand. The function must be…

Q: Q5:: Approximate (x³ + 1) dx by using the Composite Midpoint rule n=2 and determine the error form.

A:

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.