integral by completing the square. (Use C for th dx + 17

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A: Given, Use the endpoints and n= 10 rectangles

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A: This question is based on Derivative of function.

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A: Consider the given integral:

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Q: Çind in fefinite intregal s .2dx - 2x+1 %3D

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Q: Evaluate the definite integral 4x² + 3 -dx

A: Let's find.

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A: An integral expressed as the difference between the values of the integral at specified upper and…

Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

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Q: .2 dx -2

A: To evaluate  ∫-2bx2-xdx where b is a positive number.

Q: 2x + x? +3 -dx (x² +1)² X¯ +

A: Let I= ∫012x3+x2+3(x2+1)2dx ⇒I= ∫012x3(x2+1)2dx+  ∫01x2+1(x2+1)2dx+∫012(x2+1)2dx Let's say  ⇒I= I1+…

Q: It is known that dx Compute . Simplify the final answer. 2х-у dx

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Q: 10 Use appropriate formulas from geometry to evaluate the integral (-2)dx. Write the exact answer.…

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Q: x*dx (x² + 4)2

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Q: waluate the following integral. 2 3x dx (16+x²)²

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Q: t Sintcost de

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Q: d -(In(5x + 4)) dx Find

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Q: Evaluate the integral. .8 2 dx 2 dx =D (Simplify your answer.)

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Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 9)2

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Q: Find the integral ∫ x2 / (x2 + 9)  dx algebraically using x2 = (x2 + 9) − 9. Then find the integral…

A: we have to find the integral ∫x2x2+9dx algebraically using x2=x2+9-9. then we have to find the…

Q: 42. (a) By completing the square, show that 1/2 dx T x² – x + 1 3/3

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Q: Use a computer algebra system to evaluate theintegral. Compare the answer with the result of using…

A: Find the value of the integral ∫11+x3dx. Evaluate the integral as follows. ∫11+x3dx=∫3u21+udu…

Q: (x+1) dx 13 (メ-

A: We have to solve above question

Q: If f(x)= ∫ (top 16, bottom 9) (-x^(-1/2)+5) dx. Enter your answer as an exact fraction of necessary.

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Q: | (x3 - x2 + 1)dx (x² + 2x + 2)²

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Q: b) Roots: 2 ± v5 Y-int: 3

A: Topic : quadratic equation

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Q: Use geometry to evaluate (x+1)dx. Draw a picture to illustrate the problem.

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Q: evaluate this using completing the square method intergral1/20(1/(x2-x+1) dx (show all steps please)

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Q: is Substitute for +4 X = 2tano and dx= 2 Secodo %3D

A: Given integral is ∫x3x2+4dx Substitute for x=2tanθdx=2sec2θdθ

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Q: x²+2 dx x+2

A: We can solve the integral as below.

Q: Graph the integrand and use geometry to evaluate the integral. (3+5x)dx | (3+5x)dx = (Simplify your…

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Q: ~In 3 2. x²e-*dx 0.

A: To determine the value of the integral.

Q: integral. Give your answers as fractions 3 (i) dx V1- x2

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A: Solution)

Q: 2x dx Using an appropriate substitution, evaluate: (A 4

A: Assume 2x= t then convert the given integral into t . Use integral formulae to evaluate integral.

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A: Solution

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