(x+1)dx. x(x² +9)

Q: _x – 1 dx |2x – x²

A:

Q: 1 |x+1|dx -2

A: ∫-21x+1dx

Q: Find the integral

A: Integrate∫3xx−2dx

Q: use a geometry formula to find the exact value of the definite integral (x/2 +3)dx on interval[-2,4]

A: To calcute the value of the definite integral ,using geometric consideration (ie. without using…

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: Find inproper integral dx/(x^2+81)^3/2 from 0 to infinity.

A: Given that: The improper integral ∫0∞ dxx2 +8132   .

Q: JxVx-6 dx cos(x) dx sin(x)+2

A:

Q: Evaluate the integral. 2 5 dx VE x²Vx² – 1 .2 - NOTE: Enter the exact, fully simplified answer.

A: We have to calculate the value of given integral.

Q: Evaluate the integral ,(1 – x – 4x³ + 2x³) dx a) Analytically b) Single application of trapezoidal…

A: we have  f(x)=1-x-4x3+2x5 we need to find ∫-24f(x)dx  a) analytically b) using trapezoidal rule

Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

A:

Q: use a geometry formula to find the exact value of the definite integral (-2x+4)dx on the interval…

A: To evaluate the definite integral from suitable geometric formula , (without using integration)

Q: Evaluate the integral. 3* dx V3* + 4

A:

Q: Evaluate the integral. dx =, x>6 x - 36 dx x²x - 36

A:

Q: Evaluate the integral. integral    (  x2 + 1 )/ (x-3) (x-2) 3 dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx ex/2

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

A:

Q: Evaluate the integral 6. dx x2 V16x2 – 9 | Note: Use an upper-case "C" for the constant of…

A: Solve the given integral

Q: Evaluate the integral. 1 -dx (x + 8)(x² + 9)

A:

Q: Evaluate the integral. 0.6 x2 dx V 9 - 25x2

A:

Q: Evaluate the integral. '5 dx (x2 - 1)3/2

A: *Given integral is, I=∫251x2-132dx Integrate the above expression. I=∫251x2-132dx Put,…

Q: Use the tabular method to find the indefinite integral. ∫(1 − x)(e−x + 1) dx

A: We multiply the integrand then integrate each part…

Q: Use the tabular method to find the integral. x²(x – 2)/2 dx

A: Use tabular method to find the integral  ∫x^2(x-2)12dx sign Derivative Antiderivative + x2…

Q: 4) Use the Midpoint Rule to approximate the integral. Then evaluate the actual integral. L(3x - 7)²…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

A:

Q: Use the Trapezoidal Rule to evaluate the integral [x-'dx. .-1 1

A: Equation is f(x)=1xThe value of the table for x and y x 1 1.25 1.5 1.75 2 y 1 0.8 0.6667 0.5714…

Q: Evaluate the integral. 4x° V1 – x² dx = 0, NOTE: Enter the exact answer.

A: Given: Let I=∫01 4x31-x2 dx To Find: To evaluate the given integral.

Q: 2 dx x3 - x

A: We will find the integral as following.

Q: [(7x-2)e-* dx; -3x

A: The given question can be solved as shown in step2.

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: Evaluate the integral. S-x cos(3x) dx

A: Use integration by parts method

Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

A:

Q: /1 x² dx /2 2 x2

A: I am going to calculate this integral using trigonometric substitution.

Q: Show using residues that   the integral from 0 to infinity of dx/(1+x^6) equals (2pi)/3

A: We have to show that ∫0∞dx1+x6=2π3 by using residue theorem. Now, ∫Cdz1+z6=∫−RRdx1+x6+∫γdz1+z6 Now,…

Q: Find the general indefinite integral. (Use C for the constant of integration.) / (2x² + * + dx x2 +…

A:

Q: Use integration by parts to find the integral. xeax dx (a # 0)

A:

Q: Use substitution to find the indefinite integral.

A: Given integral: ∫x2-6xx-3 dx Substitute u=x2-6x and differentiate it w.r.t 'x'…

Q: Evaluate the integral. integral    (  x 3 +1 )/ (x2 +1) dx

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Use substitution to find the general integral (x-4) *dx x²(x- 4) $dx = %3D |

A: We have to find the integral

Q: Exatuate the integral pvz O√3 √4-X² √EX 9 (√x ² + y² dy dx

A: Evaluation of double integral by conversion to polar coordinates.

Q: Use the Midpoint Rule to approximate the integral 13 | (- 2x + 10æ²) dx with n=3.

A:

Q: Find the integral: 2 1 Integral 1 to 2   (1 divided by x - 1) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 8x2 + 7 + dx x2 + 1

A: Given : ∫8x2 + 7 + 3x2+1dx

Q: Evaluate the integral. (Use C for the constant of integration.) 7-6x - x² dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

A:

Q: Evaluate the integral -1 dx x² + 16 Note: Use an upper-case "C" for the constant of integration.

A: LetI=∫-1x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=-∫1x2+16dxI=-∫1x2+42dxPur x=4tany…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x + 4 + dx x2 + 1

A:

Q: | rv25 – x2 Evaluate the indefinite integral. dx xv 25 – x2 -

A:

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .

Q: I+tgX dx; 2 COS X cos

A: Given: ∫1+tanxcos2xdx

Q: 3. Estimate the value of the integral 1 dx (n = 4) using Trapezoidal rule. 1+ln x

A: The value of h in the trapezoidal rule is h = b-anh = 5-34h = 24h = 0.5 Form a table with the x…