Find the value of the given integral and the conditions available in the image.   Which of the following is the correct one?   A) 109,93 B) 21,99 C) 219,86 D) 17,83

Q: Evaluate the Integral tanh (u) du

A:

Q: Evaluate the integral using FTC I.

A:

Q: Use Simpson's Rule with n = 4 to approximate the integral Vzdz. the result is = 13.45 True O False O

A:

Q: Evaluate the integral. 1 dr 25 + r2

A: we will let  25+r2=t2        to solve this question.

Q: 2. Use the form of the definition of the integral given in Theorem 4 (p. 380) to evaluate the…

A:

Q: Evaluate the integral using FTC I.

A: To evaluate: The integral of . Formula used: Power rule of integration:

Q: Evaluate the integral using Wallis’ Formula

A: Given integral, ∫011-x252dx

Q: Evaluate the integrals in Exercises 33–36. x dx 9 – x2 dx 33. 34. x(9 – x²) dx dx 35. 36. 9 – x? V9…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Write the integral in terms of u and du. Then evaluate. |IV21? + 11 dr, u = 21² + 1 - 2t? + 11

A: Given,            ∫t2t2+11dt

Q: hipln] = = = juM/2ejun dew sin[wc(n – M/2)] A(n – M/2)

A: Definite integration

Q: Express the integral in terms of the variable u, but do not evaluate In a u= In a In r du %3D

A:

Q: Use substitution to change the integral SS(3x + 4y)dA over the parallelogram with corners (0, 0),…

A:

Q: Using only the definition of RS-integral, evaluate 2 ,2 d[x}.

A:

Q: Evaluate the integral. a) farctan 4t dt b)

A:

Q: Evaluate the integrals in Exercises using integration by parts

A: Solution of the given integrations can be found with the help of the integration formulas and…

Q: Evaluate the integrals in Exercises

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: tVt2 + 2dt.

A: we can evaluate  the given integral by substitution method(Substitute  u=t²+2).

Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1² d 4.

A:

Q: Evaluate the integral by interpreting it in terms of areas: | (4 + 32) dz : %3D

A:

Q: Evaluate the integral by interpreting it in terms of area. 4 V16 – x dx

A:

Q: Find the anc length oF t1x)=x° on [o,] Hint; use the Integral Tables,

A:

Q: Evaluate the integral by interpreting it in terms of area. 4 V16 x dx - -4

A: ...............(1) substitute put it back in equation 1

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

A: Given: I=∫e5e18lnxxdx   ...1

Q: Use the Fundamental Theorem of Calculus to find the area under the curve Vx on the interval 0, 3 O…

A: The area under the curve y=f(x) is given by the formula ∫abf(x)dx  in the interval [a, b].

Q: Evaluate the integral * cosh? dx -In 2

A:

Q: Find the value of c and they give an interval that satisfies the mean value theorem of integrals

A:

Q: Use the substitution z = tan (6/2) to evaluate the integrals in Exercises 41 and 42. 42. 41. esc @…

A:

Q: Evaluate the integral: /25 – z z²dz

A:

Q: Evaluate the integral.

A: Let the given intergral be y -y = ∫01r34+r2dry = ∫01r24+r2 r drLet,x = r2Diffrentiating with respect…

Q: b. z- 3*dz

A: Given:      ∫z·3zdz   Integrate by parts: ∫fg'=fg-∫f'g     f=z→ f'=1   g'=3z →g=3zln3…

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given: ∫0π4 sec2θ dθ To solve: The integral by using Fundamental Theorem of Calculus.

Q: the exaet V alde Of the integral. a

A: The objective is to show the exact value for the integral, ∫01axdx This can be re written as,…

Q: Rewrite the iterated integrals in the order dzdxdy 1 1-x² SS S f(x, y, z)dydzdx 1-x 0 0

A:

Q: Evaluate the integral using FTC I.

A:

Q: Evaluate the integrals in Exercises 45. tanh dx 46. coth de

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

Q: Find all values of z' in the ststed interval that satisfy the Mean-Value Theorem for Integrals f(z)…

A:

Q: Reverse the order of integratlon and then evaluate the Integral 10Tin6 Jinu! dx dy 9/10 et2

A:

Q: Let D be the region inside the circle x^2+(y−2)^2=4 and outside the circle x^2+y^2=4.Which of the…

A: To convert into polar coordinates we substitute x = rcosθ, & y = rsinθ, then find the upper and…

Q: | Va In(x) dæ

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A:

Q: Evaluate the integral by interpreting it in terms of areas. 3 + v9 - x2) dx

A: According to the given information it is required to interpret the integral in terms of area.

Q: Evaluate the Integral / tanh (u) du .

A:

Q: Prove that the area of the cardioid 3 r = a(1- cose) is , πα?. 2

A:

Q: (24 — бх) dx 14

A:

Q: Evaluate the integral using FTC I.

A:

Q: Evaluate the integral. 13 dr 16 + r2

A:

Q: Use integration by parts to evaluate the integral: 3. In(r) dr r8 .020327 %3D

A:

Q: Evaluate the integral using FTC I.

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.