Evaluate the indefinite integral: 8x4 - 2x dx %D x3 + C.

Q: Evaluate the indefinite integral by using the substitution u = 6-x° to reduce the integral to…

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Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

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Q: 15. 1/√/2 X 1+ 4x4 dx

A: We need to evaluate :

Q: Use substitution to find the indefinite integral.

A: The given integral is ∫6x+59x2+15x5dx

Q: Evaluate the indefinite integral by substitution. Method Integral 2(2x+4)5 dx

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Q: 3x2 dx is equivalent to +1 Using substitution, the definite integral

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Q: Find the indefinite integral

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Q: 1 dx 14x3 + C.

A: We have to find the integration

Q: evaluate the integral.

A: Given: Or, Now,

Q: -1 tanx 4. 1+x?

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Q: Evaluate the integral. 150 dx (x + 1)(x² + 9)²

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dx J (9x2-36)3 a. b. rV2-ezx dx ex V5+ln²x dx C.

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Q: Evaluate the integral. (Use C for the constant X - 7 dx x2 - 18x + 82

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Q: Use substitution to find the indefinite integral.

A: Integration by substitution is a method to solve integrals line in the above question where the…

Q: Evaluate the integral. dx x216x + 65 NOTE: Enter the exact answer. + C

A: Given ∫dxx2-16x+65 Use the following formula to evaluate the integral, 1x2+1dx=lnx+x2+1

Q: Evaluate the integral. 0.75 x2 dx 9 – 16x2

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Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

Q: evaluate the integral.

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Q: | x(8 + 4x°) dx = + C.

A: Indefinite Integration

Q: Evaluate the integral. 14) x6(x7 - 6)4 dx

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Q: dx (4x²+5)' Evaluate the indefinite integral |

A: We will solve the integration.

Q: Find the indefinite integral ∫ 1/x√(9x2 − 49)   dx

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Q: Use substitution to find the indefinite integral.

A: Given integral: ∫x2-6xx-3 dx Substitute u=x2-6x and differentiate it w.r.t 'x'…

Q: Use substitution to find the indefinite integral. 6x+7 (3x +7x) to

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Q: Evaluate the indefinite integral: ∫(8x − 4e5−2x) dx

A: Given: Let I=∫8x-4e5-2xdx To Find: To evaluate the given integral.

Q: Determine the indefinite integral below. 3x 7 e + Vx' dx -7e 3x dx = +.

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Q: Evaluate the indefinite integral. x² dx 1 + x6

A: To find :- Integral of ∫x2/(1+x6)       ........................(1)   Solution :- According to the…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xp (x² + 5)2 х

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Q: Find the indefinite integral. (Use C for the constant of integration.) el/x6 xp-

A: integral, ∫e1x6x7dx

Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: Given: ∫6x+59x2+15x3dx Evaluate the given integral using the substitution method. A function that…

Q: SxVx-6 dx

A: ∫xx-6 dx

Q: Explain why the integral is an improper integral and evaluate it: =dx √x-2

A: Given integral:- ∫251x-2dx

Q: Evaluate the integral. 0.75 x2 dx 9 - 16x2

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Q: Evaluate the integral. 9. x² + 81 dx Jo

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Q: evaluate the integral 17/((x-1)(x^2+16)) dx?

A: Evaluate the integral .we use partial fraction method to solve this integration. Here i attached…

Q: Evaluate the indefinite integral. Use C as the constant of integration. dx (x2 + 64)²

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Q: 36x2 + 25 dx x2

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Q: |(x² +7)dx 3

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Q: Evaluate the integral. 2x /x² + 9 dx

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Q: Find the indefinite integral. x° - 5x xp. 4 X° - 5x dx = 4

A: The given integral is ∫x5-5xx4dx

Q: find the indefinite integral of y/sqrt(1+3y)

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Q: Evaluate the integral. r1 x3 - 2x – 10 dx Jo xt — х — 6

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Q: Evaluate the indefinite integral. 8x7 dx (28 + 1)² + C

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Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x + 10 Integral =

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Q: Find the indefinite integral. x² + 8x + 1 dx x3 + 12x2 + 3x + 6 Step 1 Begin by rewriting the…

A: follow next step

Q: Evaluate the indefinite integral x5 – 5x dx x3

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Q: Evaluate the indefinite integral. -1 -dx x2 + 12x + 36 Answer:

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Q: Find the indefinite integral. te7x dx (7x + 1)2

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Q: Evaluate the indefinite integral: x(7+6x³) dx +C.

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Q: -5x dx 2x* +9 4

A: Explanation and solutions is given below....

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.