3 Only one of these calculations is correct to evaluate the definite integral Vx²+1 dx -1 Using the Trapezoidal Rule with n=4 Select one: O = (2x/1 + 3x/2 + 2x/5 + /10) O =-WT+ 2xv2 + 2x/5 + 2x/10 + /17) 2 O None 1 (2x/T + 3x/2 + 2x/5 + V10) = o = (2x/1 + 3x/2 + 2×/5 + /10) WO + 2x/T + 2×/2 + 2x/5 + 10) O 2

Q: Evaluate the integral dx 2x x - 3x? 1 V3 + V2 x u- - V7 VX + C 2/3 TV3 1 In 2/3"/7x + V3 +C -In 4…

A:

Q: 11. Evaluate the following integrals: a) (-3x+1 dx b) S²³+6x-2 x*+6x²

A:

Q: Evaluate the integral f x3_5x−1 X dx

A: ∫x3−5x−1xdx Expand: =∫(x2−1x−5)dx

Q: Write the ratio as a ratio of whole numbers using fractional notation 12 to 1

A:

Q: Only one of these calculations is correct to evaluate the definite integral Vx+1 dx Using the…

A:

Q: Q3/ Evaluate four of the following integrals. ( x³+1 sinx cosx dx b. f*+¹ dx c a. S √1+cos2x x²

A:

Q: x+4 dx (x-3)(x+6) e. S dx (x-3)(x+1)

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

Q: 3x?dx 10. S 9x6-12x3+4

A:

Q: The integral factor of the following O.D.E [ ( 3*(x^2)*y)+(y^3)+(2*x*y) ]dx :+ [(x^2)+ (y^2)]dy =O…

A:

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: 1 dx s x* - x+1

A: Given,           ∫1x2-x+1dx

Q: Зx4—12х3 +4x2+11х+4 dp: x(x2-3х-2)2 dx 2Vx+vx S xe-4x dx

A:

Q: Step by step

A: Given integral

Q: Evaluate the integral į (1 – x– 4x° + 2x*)cx using multiple-application trapezoidal rule with n = 2

A: Given, fx=1-x-4x3+2x5 The trapezoidal rule to approximate the area:  ∫abfxdx≈∆x2fx0+2fx1+2fx2+2fx3+.…

Q: Step by step

A:

Q: help evaluate the integrals please

A: Step 1:Step 2: Step 3: Step 4:

Q: Evaluate the integral f 2x (x² +1)** dx using the substitution 14 u = x² + 1. | 20 (a² + 1)“ dx +C

A: The given integral is: I=∫2x(x2+1)14dx Substitute u=x2+1 After differentiating,…

Q: Evaluate the following integrals: dx dx iii)S 1+tan x dx ii) Ja sinx+b cos x 2 sinx+8 cos x dx v)S 2…

A: Given: IV)∫sinh2xdx

Q: In² xdx

A:

Q: 1 2) ƒ =—= + √xdx X

A: Integrate the following.                                ∫ 1x+x dx

Q: Evaluate the integral

A:

Q: Evaluate the following integral. dx (x² + 16)2 (A) 능 (구16+ 16arctan()) +C (B)(+16 +is arctan() + C…

A:

Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Evaluate the integral 1₂ 6x² - 11x - 5 x³ - 4x² + x + 6 dx;

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.