-0.1x dx e 1 8.

Q: Σ nº +1 n=1 aluate the following integral. (If th dx x9 +

A:

Q: Calculate the definite integral f(x) dx by referring to the figure on the right with the indicated…

A: Ginen integral, ∫caf(x)dx

Q: In the given equation/s as follows , find the indefinite integral:-   vSee the quaetion as attached…

A: We know that, if, y=arcsecx then, x=secy. We use the above substitution to find the given integral.

Q: The following are the left, right, trapezoid, and midpoint approximations (not necessarily in that…

A: In this question, we use the concept of overestimation and underestimation of the area under the…

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: Express the limit as a definite integral on the given interval. im. (4(x;") - 3x;JAx, [2, 7] i = 1 7…

A: By limit definition of a definite integral, limn→∞∑i=1nfxi*∆x=∫ab f(x)dx  where ∆x=b-an and…

Q: Explain why each of the following integrals is improper  integral 1 to 2 x / x-1 dx

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Q: 4. For each of the following improper integrals, note WHY it is improper, and then set up the…

A: Given: a. ∫1∞ 1x3 dxb. ∫-∞4 3x+2 dx To write: Why the given integrals are improper and to set up the…

Q: Find the indicated Midpoint Rule approximation to the following integral. 13 |3x dx using n= 1, 2,…

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Q: Approximate the following integrals using the Trapezoidal rule. r0.35 2 dx x2-4 1. 2. Sfx sin(x) dx…

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Q: For the integral f sin x cos xdx, we must start by breaking off one power of [blank].

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Q: 1. Find the following integrals using the graph below: g(r)

A: The integral function is ∫-44gxdx-∫-13gxdx.

Q: Evaluate the following indefinite integral. |(3+x) (4+x°) dx

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Q: Evaluate the following definite integral using substitution rule. 1. (2x - 1)² dx 2. fx √x² + 1 dx

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Q: Evaluate the following indefinite integral: x dx 1.) S- Vx4 - 1

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Q: 9 arccos(9x) dx V1 – 81x²

A: Given: An indefinite integral ∫9 cos-1(9x)1-81x2dx This integral can be solved by the substitution…

Q: 1+x+x* dx x2

A: The given integral is: ∫1+x2+x4x2dx Let, I=∫1+x2+x4x2dx

Q: Evaluate the following improper integral. If it diverges, then type DNE. Otherwise, find its exact…

A:

Q: Evaluate the improper integral if it exists e dx:

A: Answer

Q: For f dz find the indefinite integral using appropriate substitutions. 25+16z

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Q: 00 1 dx x(Inx)2

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Q: Evaluate the improper integral if it exists e'dx:

A: We have to use properties of integration.

Q: sin (x), dx b) J∞ 4+x²

A: Given improper integral: ∫-∞∞sinx4+x2dx Let x2=4tan2θ         x=2tanθdx=2sec2θdθ Substituting these…

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: Evaluate the following integral by using method of substitution: 1/ (1+9x^2) dx Limit: 0 to 1/√3

A: NOTE: Refresh your page if you can't see any equations. . substitute  ............put it back in…

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: Set up an integral to find the length of the curve defined by y = 4x2 – 3 from x = 3 to x = 9, then…

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Q: Evaluate the following definite integral. If the integral diverges, say so and why.

A:

Q: (a) '8 dx 2

A: (a)∫268 dx=[8x]26We know that ∫k dx=kx+C            = 8*6 - 8*2            = 32

Q: Determine a definite integral that represents the area of the petal that points to the right from…

A: Ans given r= 4 cos 30

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: ∫10∞56x2-16dx

Q: Find the indefinite integral. 1 dx = +C. x +

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Q: Evaluate the definite integral by the limit definition. L (x² + 4) dx X 31

A: use the limit formula for integration

Q: Evaluate the following indefinite integral. Sx*tan"x dx

A: given problem is solved with the help of integration by parts    i.e. ∫udv = u.v-∫v.du where u =…

Q: Evaluate the following integral along the indicated curve Where c is: y = -x ^ 2 (parameterize it)

A: We will find out the required value.

Q: Find the left-hand and right-hand estimates for the definite integrals of the following functions. f…

A: Estimate

Q: Which of the following definite integrals represents the limit: 1+ z?A¤ lim n00 You may use the fact…

A: Given:-limn→∞ ∑i=0nxi1+(xi)3 ∆x    on the interval 2, 5integral as limit of sum∫abf(x)dx=limn→∞…

Q: (b) For each of the following improper integrals, use the Comparison Test to justify whether it…

A: According to question given that (i)  ∫1∞1+sin2xxdx     (ii) ∫1∞x+1x4-xdx

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: Gven that∫0189dx1+x2tan-1xSolution:∫0189dx1+x2tan-1xlet,…

Q: Approximate the following integral with n = 4 using trapezoidal rule. 2 dx |x|Vx² – 1 1.5

A: The trapezoidal rule uses trapezoids to approximate the area. The formula below is used to evaluate…

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

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Q: 1 dx V16 – x²

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: Evaluate the integral as a number, o, or –∞ or enter DNE if there is no limit. sin(x) dx = -cos(t) +…

A: Given: To evaluate the integral: ∫0∞sin(x) dx   Formula used: ∫0∞f(x) dx=lima→∞∫0af(x) dx

Q: a° cos(x2) dx. (Hint: start by using an appropriate substitution.) T/2

A: Given,          ∫π2πx3cosx2dx

Q: Express the limit as a definite integral on the given interval. „m. 2 (3(x;)° – 6x;*]Ax, [2, 6] i =…

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: The given integral,           ∫015238-38x2dx