4. Graph the integrand and use known area formulas to evaluate the integral. 10 2 8- x dx 6- -4 4- Use the graphing tool to graph the function. 2- Evaluate the integral X -10 -8 -6 -4 -2 6 8 10 2 2- xl dx (Simplify your answer.) 4- -4 6 8- -10 -cG L은

Q: Graph the integrand and use areas to evaluate the integral 5 4x dx

A:

Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

A: We have to find the value of r and s.

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral    0 to 2     […

A: To determine: The value of the integral,

Q: Q.6 Evaluate the integral by interpreting it in terms of area 1) L xdx 2) LV16 - x² dx

A:

Q: x arcsin(x²) dx;

A: Given that: *∫sin-1u×du=u×sin-1u+1-u2+C The given expression is, ∫x×sin-1x2×dx Let,  x2=u,…

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral   [ 2x 3  - 3…

A:

Q: Evaluate the integral. integral    (  x 2 -x +6  )/ (x 3 + 3x) dx

A:

Q: (8 - 3x2) dx. Given that dx = use this fact and the properties of integrals to evaluate

A: Given: ∫01x2dx=13 The objective is to evaluate the integral of ∫018-3x2dx

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ x3 + x2/x2 + x - 2 dx

A:

Q: Find the exact value of the integral using formulas from geometry. 5 (3+ 2x)dx 1

A:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: 2 B. Evaluate | (2- x) dx by interpreting the integral in terms of area. -1

A: Topic = Integration

Q: Use any method to evaluate the integrals ∫ 2x - 2-x/2x + 2-x dx

A:

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ x + 1/x2(x - 1) dx

A:

Q: 3. (a) Explain why the following equation is incorrect: 15 8. (b) How should the integral from part…

A:

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan…

A: We need to find the approximate values of ∫π4π2ln(tan(x))dx using trapezoidal and Simpson rule given…

Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

A: Solve the following

Q: Evaluate the integral. (Use C for the constant of integration.) 1 - 4x2 dx

A: Given that∫ 1-4x2 dxwe need to evaluate it

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan x)…

A:

Q: 4. Evaluate the integral sin x cos x dx by two methods: first by letting u = sinx, and then by…

A:

Q: b What value of a and b that minimize the integral : (x* – 2x²) dx a (Hint: Where is the integrand…

A: We have to find the value of a and b

Q: 2 How many subintervals does the composite trapezoid rule need to obtain the approximation of the…

A: Given function is

Q: 3. Evaluate the improper integral: dx | Tale + 1)'

A:

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ ds/es - 1

A: consider the given integral as

Q: Evaluate the integrals ∫4 cosh (3x - ln 2) dx

A: Given: I=∫4cosh3x-ln2dx here, 4cosh is constant, so it will come out from integral

Q: 2 - 4 dx 5x

A: formula used ∫1xdx=log|x|

Q: a) Use Trapezoidal and Simpson's Rule to evaluate the integral , (2x – 1)dx by taking n=4

A:

Q: 19. Use Simpson's rule with n=8 to estimate the following integral. Estimate your error. So5-4 cos.x…

A: Given integral can be evaluated by using Simpson's rule with n=8 as shown below

Q: 2* csch (2*) dx J cosh(2*) – sinh(2*)

A:

Q: Find the points of discontinuity of the integrand on the interval of integration, and use area to…

A: The integral is discontinues where the function is not defined

Q: Evaluate the integral by using a substitution prior to integration by parts. Sin(2x+2x²) dx Hide…

A: Given ∫ln2x+2x2dx

Q: (8 - 3x*) dx. x² dx use this fact and the properties of integrals to evaluate Given that

A:

Q: 5x

A:

Q: 4) Write a definite integral that represents the area of the shaded region and compute the integral…

A: Given the equation of the line is y=-x+4 Intersection with x-axis: Put y=0 0=-x+4x=4

Q: Use substitution to find the indefinite integral. 5х +6 -dp- (5x2 + 12x) 3 S- 5x + 6 dx = 3 (5x2 +…

A: Given:Here f(x)=5x+65x2+12x3 To find:we have to find the integral by using substitution

Q: Evaluate the integrals ∫6 cosh (x/2 - ln 3) dx

A: ∫6coshx2-ln3 dx Put, x2-ln3=t⇒12-0=dtdx⇒12dx=dt⇒dx=2 dt

Q: (b) 3 – cos(x) 2

A: Follow the procedure given below.

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 24 (1…

A: Answer

Q: .2 32. 8x dx, x > 8 -

A:

Q: Use a table of integrals with forms involving eu to find the indefinite integral ∫ 1/ (1 + e2x) dx

A: ∫11+e2xdx∫1tdt=lnt+C

Q: Use the form of the definition of the integral given inTheorem 4 to evaluate the integral. integral…

A: To evaluate the integral: ∫022x-x3dx Evaluating the integral.…

Q: 3. Use a definite integral to find the area under the curve y = 5 + 2x over the interval [-2,1] and…

A:

Q: 5. Find the area under the curve integrate 2/(9 - x ^ 2) dx

A: Given;           ∫29-x2 dx Take the constant out: ∫a.fx dx=a.∫fx dx           =2.∫19-x2 dx Apply…

Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: Find a three point quadrature rule for integrals of the form ² dx. f (x) e I suggest using…

A:

Q: Use Property 8 of integrals to estimate the value of the integral. ∫20(x3-3x+3)dx.

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 4 +…

A: Given

Q: 2. Sketch a graph of the integrand, shade the region in question and use geometry to evaluate the…

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

Q: 3.a) Apply the Trapezoid and corrected trapezoid rule, with h =, to approximate the integral…

A: