To evaluate the integral dx, we substitute x = 2 sec 0. VAx-4 Select one: a. True b. None of these C. False

Q: Use an appropriate substitution to show that the value of the following definite integral has value…

A: SOLUTION-

Q: Evaluate the integral. сп/4 8 sec?(t) dt

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Q: Find the value of this Multiple Integral. ,(x² + 3xy²) dx dy

A: Here we have to evaluate I=∫02∫0yx2+3xy2dxdy

Q: Use the indicated substitution to evaluate the integral.

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Q: Given that ex dx = e3 - e, use the properties of integrals and this result to evaluate (4ex – 2) dx.

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Q: Evaluate the following integral, Vx3 +1 dx dy.

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Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Given, ∫01exex+4dx

Q: luate the following definite integral 2 dx J V3 – x + Vx

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: et Evaluate the integral , -dx 3+ ez using the substitution u = 3+e². e* dx 3+ e* +C

A: Given that: ∫ex3+exdx

Q: sin(6x) Vi? +4 dt 7

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Q: e" cos x dx

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Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Given- ∫13lnxxdx To Use- The appropriate trapezoidal rule to approximate the value of above integral…

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx…

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Q: Evaluate the integral below using 2 point Gauss-quadrature and compare your results with the exact…

A: Given that, the integral is ∫15∫065y3+2x2+5dx dy. Note that, the formula for 2-point…

Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

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Q: The integral dz is equal to 2e + C. Select one O True OFalse

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Q: To evaluate the integral /V4 + x² dx using a trigonometric substitution, use the (4+: substitution…

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: The value of the double integral 45 dx dy is – 1890 1890 945 945 -

A: Given that ∫03∫0745dx     dy find out the value

Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: On what interval is the formula d/dx(tanh'x) = 1/(x² – 1) valid?

A: ddxtanh-1x=1x2-1

Q: Given the integral 4 dx and the substitution information x+ 9

A: Given : ∫4x+9dx

Q: The indefinite integral Vx +1 dx may be solved by substituting u = x² +1 to get | vūdu. O True O…

A: ∫x2+1dxPut x2+1=udifferentiate w.r.t.x2xdx=dudx=du2xdx=du2u-1I=∫udu2u-1 Therefore it is false that…

Q: ) 1 1 dx x – 1

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Q: Use the indicated substitution to evaluate the integral.

A: we have to use the substitution x=3secθ to evaluate the integral ∫dxxx2-9

Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Consider the provided integral, ∫02xe-x2dx Use the trapezoidal rule with n=4 to approximate the…

Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

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Q: Evaluate V16-x² dx dx be? Explain Then, what would the value of the integral 1+V16-x 0.

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Q: The integral 1 dx x2 - 4 x + 4 ? If the integral is a number, enter the value in the blank below. If…

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Q: use the indicated substitution to evaluate the integral.

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Q: Evaluate the following dennite integral 4 a) 3 2x +2 |dx

A: Given: The given integral is ∫142x+3xdx. Simplify the integral. ∫142x+3xdx=∫142xdx+∫143xdx

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

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Q: Calculate the integral approximations To and M6 for 10 x³ dx. Your answers must be accurate to 8…

A: ∫ab f(x) dx≈Tn=∆x2fx0+2fx1+2f(x2)+...+2f(xn-1)+f(xn) ∫ab f(x) dx ≈Mn=∆xfx¯1+fx¯2+...+f(x¯n) ; where…

Q: Consider the following integral: sinx dxdy By reversing the order of integration, the value ofl is…

A: We will change the order of the integration. We will set the limits of x free and set the limits of…

Q: 1 36* dx V6* + 3 2x dx x2 + 2x + 5

A: The given integrals are: ∫0136x6x+3dx and ∫2xx2+2x+5dx

Q: For the given integral dx sin-cot- 2 2 what is u?

A: Take u=x/2 then integrate it

Q: Express the integral in terms of the variable u, but do not evaluate it. 3x-2 dx; u = 0, NOTE: Enter…

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Q: Evaluate the following by changing the order of integration: •3 sin(y?) dy dx. (6 marks)

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Q: Evaluate the following integral xe -dx J 1+2ex?

A: The given integral is I=∫xex21+2ex2dx Solving the integral using substitution.

Q: 3 dx 2 (2 +

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

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Q: The definite integral sec (4x)e dx is equal to:

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Q: Suppose we wish to evaluate by using integration by parts, where a, bER. Given that we choose what…

A: Let  u=x ; v = e2xAfter differentiating v with respect to x is:dvdx=2e2xdv=2e2xdxAfter…

Q: çin fxa-lex®dx dx 3?

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Q: The numerical value of the improper integral | (tx) 3 -dx is equal to .... (x++1) 2 00

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Q: The area of a circle of radius v7 can be calculated using which of the following integrals? O 7- x²…

A: Before finding the area we need to see the formula for area under the curve f(x) for a≤x≤b is given…

Q: sec{s)ds

A: We know, ∫abf(x) dx = ∫abf(a+b-x) dx

Q: Evaluate the integral. T/6 | 9 sec'x dx 2. п/6 |9 sec?x dx = 3/3 (Type an exact answer.)

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Q: Evaluate the following integral 1 dx (x – 5)²(x + 3) a

A: We have to evaluate the given integral    The given integral is   ∫1(x-5)2(x+3)dx