Evaluate the integral: - c s 4x)dx

Q: Write the integral in terms of u and du. Then evaluate:  ∫ (x − 7)3 dx, u = x − 7

A: ∫x-73 dx Put, u=x-7⇒dudx=1-0⇒du=dx Therefore, ∫x-73 dx=∫u3 du

Q: Evaluate the integral by making the given substitution. Sx x +2 dx, u = x³ +2

A: The given integrand is  x2 (x3+2)1/2

Q: Evaluate the integral using the following values. 8. 8. dx = 960, x dx = 24, 8. dx = 4 %3D %3D %3D…

A: solution is given below..

Q: Evaluate the integral using FTC I.

A: Definite integral is used to obtain the exact area under a curve bounded by the intervals. According…

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x e2 In x…

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Q: Replace the letter A in the integral Ae2u - 글라-오 + C. dx so that the integral evaluates to A =…

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Q: a) Calculate the integral , dzdy dx.

A: Given:

Q: Evaluate the Integral (9ze" )dz + C

A: Evaluate the integral.      ∫9xex+5 dx

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 following values. x dx = 60 x dx = 6, dx = 2 J2 %3D 5x dx J2

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Q: Write the integral in terms of u and du. Then evaluate: ∫ (x + 25)−2 dx, u = x + 25

A: In some cases integrals can be transformed as a standard integral using appropriate substitution.…

Q: Evaluate the integral using FTC I.

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Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: hello! can you help me with this calculus problem?

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx +C J…

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Q: Evaluate the integral frever se 2. SS ー2 SinXy dsdx メ

A: Here we are given the following region of integration: The first part of region represent: x = y…

Q: Evaluate the integral by making the given substitution. sec(2x)tan(2x) dx, 2x +C

A: Solving the problem by doing the integration.

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x re23 In x…

A: Topic:- integration

Q: Express the integral in terms of the variable u, but do not evaluat e21 In x dx; u = In x re21 In x…

A: We are asked to evaluate the integral.

Q: evaluate the integral.

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Q: Evaluate the integral using FTC I.

A:

Q: Evaluate the integral when x > 0 In(x? + 11x + 24) dx.

A:

Q: S sec?(5x+8) dx=?

A: The objective is to evaluate the integral.

Q: Evaluate the integral by completing the square and using trigonometric substitution. dx s √5 + x −…

A:

Q: Compute the integral by algebraic substitution: 7 dx. 2+ Vx – 4

A: Given: ∫72+x-4dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V8y + 1 +C

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Q: Evaluate the integral using FTC I.

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Q: Express the integral in terms of the variable u, but do not evaluate it. re25 In x dx; u = In r In x…

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Q: Consider two integrals: (b) S, x³dx Where a, B> 0 are both positive real numbers. Given that a < B,…

A: In the question we have to determine which integral is larger.

Q: dx 2. S XVx4+1

A:

Q: Write the integral in terms of u and du. Then evaluate.

A:

Q: Use the basic properties of the integral to calculate fo (u² + 6u) du. S (u? + 6u) du =

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Q: Evaluate the integral by making the given substitution. | x³(7 + x4)7 dx, u = 7 + x* (7 +x^)4 + C 32

A: Given ;

Q: Evaluate the integral. 4x (In x7)?dx Sax(inx')°dx= [

A: Given information : ∫ 4xlnx72dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V6y + 1 +C

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Q: Evaluate the integral. |r sec" (82) dr =| +C

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Q: Calculate the following integral, La CUP x6 (x4 + a4)² a4 ) 2 dx, (a > 0).

A: In the given indefinite integral. The method of substitution is used to simplify the integrand.…

Q: Use the substitution formula to evaluate the integral. , π/2 20) cot x csco x dx T/6

A: on solving this we get

Q: Write the integral in terms of u and du. Then evaluate.

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V10y+1 +C

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Q: Express the integral in terms of the variable u, but do not evaluate it. re13 In x · d.x; u = In x e…

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Q: Evaluate the integral using the following values. 6 dx = 260, х dx %3D 10, dx = 2 4 4 "x³ dx

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

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Evaluate the integral using FTC I.

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Q: Compute the indicated integral by findng the area of the trapezoidal figure below. 110 4,0 F1 10 •5…

A: Given: A=∫35x+3dx

Q: Evaluate the integral using FTC I.

A:

Q: Evaluate the integral using the following values. x3 dx = 444, /5 х dx 3D 12, dx = 2 15 2x + 5 ) dx…

A: Given, Used basic integration formulas,

Q: R sec" (82) daæ

A:

Q: Evaluate the integral using the following values. * dx = 960, x dx = 24, dx = 4 5x 12

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.