1 (1 – a2)? dx

Q: How do I evaluate the indefinite integral?

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Q: 18tan"x Sec-x dx (िकपन इ)"

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9 - ex dx e7x

A: Given integration is : ∫9-exe7xdx  Use the formula of integration, ∫eaxdx=eaxa+C

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 2х — 3 dx х? — За — 4 -

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Q: Find the indefinite integral. (Use C for the constant of integration.) - 49 dx

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Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: 7. -4 3. ) dx - 3 10.

A: The given integral,         ∫e5xe2x7+3e3xdx

Q: solve the integral

A: #37. Given integral, I=∫14x-x2dx Used integration formula, ∫dxa2-x2=sin-1xa

Q: 17. Why doesn't the definite integral 1-x² dx make sense? (Hint: Think about domains.)

A: To find: The reason why the definite integral ∫231-x2dx does not make sense. Explanation: Substitute…

Q: 2 3 3t dt - 3 -2

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 dx 4 - (In x)2 Need Help?…

A: Given query is to find the value of integral.

Q: b) By using appropriate substitution, solve the integral 7x dx. (1–4x)"

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Q: How would I find the indefinite integral?

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Q: dx 24 - x2

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Q: Find the indefinite integral. (Use C for the constant of integration.) 36 – 4x2 dx

A: Topic = Integration

Q: Find the indefinite integral. (Use C for the constant of integration.) 100 - 4x2 dx Need Help? Read…

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Q: dx dx хV 16 — 9х2

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Q: 13 1 dx 13 – x

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Q: +00 x* +3 4. dx x2 + 3x +1

A: The given function can be written as x4+3x2+3x+1=-21x-5x2+3x+1+x2-3x+8 Using ∫ f'xfx dx=log fx+c,…

Q: Evaluate the following definite and indefinite integrals. (e) / = x3 – x2 + 5x – 15 dx - - x²(x² +…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 7e(x8 – 2) dx

A: In this question, we need to find the indefinite integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) √ +4/5 dx

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Q: Evaluate the definite integral.   definite integral of 20 at the top and 0 at the bottom 8/ the…

A: ∫02082x+1dx Consider, ∫82x+1dx=8∫12x+112dx=8∫2x+1-12 dx=812·2x+1-12+1-12+1+C     ∵∫ax+bn…

Q: 4. (-3x2 + 4x – 5)dx 1

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Q: sin4 50 de

A: Integrate

Q: Find the indefinite integral. (Use C for the constant of integration.) 9x° + 5 (+9 dx (x° + 5x)-

A: To evaluate the given indefinite integral.

Q: b) f4 sec 0 tan 0 do

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Q: Find the indefinite integral. (Use C for the constant of integration.) dx Vx? - 4

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Q: (4) / | Va In x da (d) In x dx x2 (e)

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Q: this integral is solve by trigonometric Substitution with the side of a triangle and i need help

A: Integration: ∫x21+2x3dxLet, 1+2x=z            2dx=dzx=z-12

Q: 3 If fS(x)dx = : = 6 and f(x)dx = -8, determine the value of each of the following integrals using…

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Q: Evaluate the definite integral. (13 - 2x) dx Need Help? Read It

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Q: Evaluate the indefinite integral. d.x

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Q: Evaluate the definite integral. -82²e¬5¤ dx -5z

A: Given,  ∫01-8x2e-5xdx

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

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Q: 10x

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Q: Find the exact value of the integral using formulas from geor 5. (2+2x)dx 2. |(2 + 2x)dx = (Simplify…

A: Given: ∫25(2+2x)dx To find the exact value of the integral using geometry

Q: What is the Indefinite Integral of "sin(3x)cos(x)dx"? I'm stuck on solving this. I tried u…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 7. 7. cos Op

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Q: 2 3 [²³x²³ ln(x¹) dr Sº x exp(-x) dx 1 X Jo 2x² +1 dx

A: Solve the integral

Q: Find the indefinite integral. (Use C for the constant of integration.) x8/9 dx

A: we have to find the indefinite integral

Q: Find the indefinite integral by using the substitution x = 6 tan(e). (Use C for the constant of…

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Q: S HENN -dx x4-4

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Q: How to you solve using definite integral?

A: Here, we use the result of integration that the integral of x^n is x^(n+1)/(n+1). and the solve the…

Q: 2) (2 points) if you know that f(x)dx =15 and S(x)dx = 8, find [ 3/(x)de using properties of the…

A: Suppose that a point c belongs to the interval [a,b]. Then the definite integral of a function f(x)…

Q: You plan to approximate the definite integral, 10 (8x + 3)?dx using both a left and right sum. Which…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

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Q: Find the indefinite integral. (Use C for the constant of integration.) [(323√/7³-√3/3/3) dx 32x5

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Q: 2. 8 sec Xton X-7 sec´x)dr==

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.