Evaluate the integral. Check your result by differentiation.     (2x3 + 14)46x2 dx

Q: Given the integral ( 12x3 + 7 dx -5 Use the integral table to help you find the Anti Derivative of…

A: To evaluate: ∫-5712x3+7 dx We know that  ∫xndx=xn+1n+1, ∫kf(x)dx=k∫f(x)dx and  ∫abf(x)dx=F(b)-F(a),…

Q: Find the indefinite integral and check the result by differentiation. + 4 du + C

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Q: integral of x^2 sqrt(2+16x^2)dx

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: X-1 dx colculate the integral

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Q: Question Using integration by parts, the integral f In(8x²) dx is equal to:

A: Please see the answer in Step 2

Q: Evaluate integration 1/(x^2-9)^(3/2) dx using trigonometry substitution

A: Consider the given integral as ∫1x2-932dx. We use the trigonometric substitution x=3sect to evaluate…

Q: Evaluate the integral. (Use C for the constant of integration.) (8x3 − 6x2 + 8x +

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Let 5-2x2=u -4xdx=du

Q: Evaluate the integral. Check your results by differentiation. (Use C for the constant of…

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Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   0xe−x dx

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Q: VI– 2e* dx

A: Given that a integration and we solve the solution of this integration by using general property of…

Q: 2x-1 Use substitution to find the general integral

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Q: Integral of 1/18x^2-12x+34 dx

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the const (x³ -…

A: The given integral is ∫x3-12x-4dx use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C use the…

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: 2x+3 dx 2x3+6x2+4x Find the definite integral

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Q: Evaluate the integral. (Use C for the constant of integration.) 19xe2x/(1 + 2x)2 dx

A: To evaluate ∫19xe2x1+2x2dx

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

A: We will solve the integration.

Q: x2 dx = 125 to evaluate each definite integral without using the Fundamental Theorem of Calculus.…

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Q: 1 2x2 –2x Evaluate the definite integral: -dx 2x³ – 3x² +16 Note: Express your answer in exact…

A: Topic- integration

Q: Evaluate the definite integral. Provide an exact answer: 2x dx

A: Detailed solution is given below.

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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Q: Use integration by substitution to find the indefinite integral of  ∫(x2+4)(x-1)6dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bx5 dx 6ax + bx6

A: Given the following integral:

Q: Evaluate the integral. (Use C for the constant of integration.) 2 + x dx 2 - x Need Help? Watch It

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: Given the integral 6x + 9 dx 2 Use the integral table to help you find the Anti Derivative of the…

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Q: Question * Using integration by parts, the integral f (9x-3)e3*dx is equal to:

A: We have to integrate

Q: Sx+1)(3x – 2) dx

A: Evaluate , ∫x+13x-2dx=?

Q: Determine the indefinite integral 6.xV-5]7 dx by substitution. (It is recommended that you check…

A: We have to solve  ∫6·x3·x43-57 dx.

Q: Evaluate the indefinite integral: 3 dx x In(4x)

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Q: sec'x tan?x

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Q: Find or evaluate the Integral by completing the square. (Use C for the constant of Integration.) 10x…

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Q: За? +8х —12 dx x3+7x²+12x 3x +8x- -12х

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: valuate the integrals. 3 Зx sec+ 3xdx (

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Q: x² sin 2x dx¸ Use integration by parts.

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Q: how do you integrate the following? integral 3x dx divided by 3 sqrt 3-7x^2

A: Given problem is

Q: 3 -dx 4 - x

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Q: State whether you would use integration by parts to find each integral. If so, identify what you…

A: Solution: Consider the two functions f(x) and g(x) and product of these two = F So, F = f(x).g(x)…

Q: Find the integral given below.   Check your answer by differentiation.   ∫ x√6x2+1 dx

A: Given:

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.