V2x² – 4 dx V2

Q: Evaluate integral using trigonometric substitution.

A:

Q: Use trigonometric substitution to find or evaluate the integral.

A: Given: The integral, ∫-12x24-x2dx.

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Consider the integration ∫x3x2+9dx Substitute x=3tanθ ⇒dx=3sec2θdθ Hence,…

Q: Find the indefinite integral f V9+x² x3 dx using an appropriate trigonometric substitution.

A: To find :  I=∫x39+x2dx

Q: Use a trigonometric substitution to evaluate the integral. dx

A:

Q: dx (49 – x²)³/2

A: Given,           ∫149-x232dx

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Given I=∫x3x2+81dx       Put x=9 tan θ            dx=9 sec2θ dθ      I =∫9 tanθ3 9 sec2θ…

Q: Evaluate the integral f de using trigonometric substitution. V36-x² Note: Use C for an arbitrary…

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Q: Evaluate the integral using FTC I.

A: Solve the integral ∫(4x-9x2)dx by using the general power rule of the integration that is…

Q: Evaluate the integral using the indicated trigonometric subs x² - 81 dx, x = 9 sec(0)

A: To evaluate: ∫x2-81xdx Solution: Let substitute x=9secθ Differentiating both sides,…

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Given information:

Q: Use trigonometric substitution to find or evaluate the integral

A:

Q: 5. Evaluate the integral by using trigonometric substitution. x2 dx J Tx2 - 25 Vx² –

A:

Q: Evaluate the integral using FTC I.

A:

Q: use a geometry formula to find the exact value of the definite integral  lxl dx on the interval…

A: Line AOC represents the graph of y=mod x in interval [-2,1]. Here coordinates of 0 are (0,0), A are…

Q: 5. Evaluate the integral by using trigonometric substitution. x2 dx Vx² – 25

A:

Q: Find the integral using trigonometric substitution.

A: The given integral is,

Q: dx Evaluate the integral/ by completing the square and using trigonometric substitution. V36x+6x2…

A: Given,  ∫dx36x+6x2  We have to evaluate the integral

Q: x2 — бх + 9 dx V6x – x2

A: We have to find value of given Integral

Q: х2 — 49 dx .

A:

Q: Evaluate the integral using the trigonometric substitution x =2 tan0 . x3 %3D dx x² + 4 Vx²

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Q: Evaluate the integral by using trigonometric substitution. x2 dx Vx² – 25

A:

Q: dx J x³Vx² – 9

A:

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A:

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Consider the integral

Q: 2. (x²-1)3/2 - dx

A: Given:      ∫x2-13/2xdx    substitute u=x2-1→dudx=xx2-1→dx=x2-1xdu          =∫u4u2+1du     Perform…

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A:

Q: 5x³/1 – x² dx

A: To evaluate the integral ∫01 5x3 1 - x2 dx

Q: хах 2. S (V16-x2) 3

A:

Q: Find the integral using an appropriate trigonometric substitution V25x² – 1 dx

A:

Q: Evaluate the integral using trigonometric substitution ∫3x^5√16-x^2 dx

A: ∫3x516-x2 dx Put, x=4sinθ⇒1=4cosθ·dθdx⇒dx=4cosθ dθ

Q: Use trigonometric substitution to find or evaluate the integral                            ∫ x3 /…

A: Consider the given integration as∫x34+x2dx

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

A: use an appropriate substitution and then a trigonometricsubstitution to evaluate the integrals.

Q: 16 + x² dx, x = 4 tan(0)

A: Bn

Q: Evaluate the integral ∫dx/(sqrt(x^2+4x+13)) By completing the square and using trigonometric…

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Q: V1-x² 3. S -dx

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Q: sin n(4-y)sin(3 – y)dy

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Q: Utilize trigonometric substitution to evaluate the following integral: x*dx S- V8- 2x*

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Topic : Integration

Q: Find the integral ∫ x/ √(1 − x2 )dx using u-substitution.Then find the integral using trigonometric…

A: Given: ∫x1-x2dx

Q: Evaluate the integral (use the substitution) : 2x + 6 x2 + 6x + 13 dx а. In (x + 6x + 13) + C b. 1…

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Q: x³ dx 3. S V(x2-9)3 (x²–9)3

A:

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

A: Given query is to find the integral.

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A:

Q: Evaluate the integral using Trigonometric Sub. 3 + 2z + 11)2dz -2

A:

Q: Evaluate the integral using Trigonometric Sub. 3 – z²)ždz

A: Use Trigonometric substitution

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J tan6(9x)…

A: The objective of the question is evaluate the indefinite integral with substitution method.

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A:

Q: Which is NOT included in evaluating the integral? (Use the Trigonometric Substitution method.) dx 4…

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.