3 evaluate the integrals by substitution method.

Q: 8 dx x2+11x+28

A: We will solve the problem.

Q: Find the integral of (2x+4)/(x^4+4)

A:

Q: Describe two ways for an integral to be improper.

A: The definition of an improper integral,  An improper integral is a definite integral that has either…

Q: evaluate the integrals by substitution method a42dx

A: Given:          ∫e-xe-x+2dx Apply substitution method Let   u=e-x+2 Differentiate u with respect to…

Q: Use any method to evaluate the integrals

A: (57) We have the given integral as I=∫2x-2-x2x+2-xdx Let us consider that,…

Q: 7. (x² + 3)² dx -2

A:

Q: Determine the indefinite integral below. S(9x+4)²dx. (9x+4)²dx =

A:

Q: (xt2) (x+2), x+1dx

A: Consider the integrals: ∫x+2x+1  dx…

Q: Identify the method applicable and evaluate the integral using the identified method: adx 5. S -…

A:

Q: Evaluate the integrals using the trig substitution dx 1. x²Vx2 – 1

A: The given question is from the topic of Integrals

Q: Use any method to evaluate the integrals ∫ 2x - 2-x/2x + 2-x dx

A:

Q: Evaluate the integrals ∫3 dx/√(1 + 9x2)

A: Given Data The integral is ꭍ3dx/√(1+9x²).   Let,

Q: Evaluate the integrals: 2x³-2x2+1 dx x3-x2

A: I = ∫2x3-2x2+1x3-x2 dx

Q: Use the Table of Integrals to evaluate the integral. x² V 4x² - 27

A: ∫341x24x2-27dx=∫341x22x2-332dxLet x=332sec μ .    limits                                  when x=3…

Q: Estimate the error in approximating the integral from 1 to 3 2x^3dx with n=4  by using the…

A:

Q: 1 *+5aX is an improper integral. 12. Explain why

A: Known fact: The given integral is said to be improper integral if upper limit or lower limit or both…

Q: What substitutions are sometimes used to transform integrals involving √(a2 - x2), √(a2 + x2), and…

A: The drivers of the substitution to be used in this integral are the trigonometric identities: sin2u…

Q: Use any method to evaluate the integrals ∫ x3 - 2x2 - 3x/x + 2 dx

A:

Q: integral of 1/(1+x^2)^2)?

A: Then integrate by substitution

Q: Evaluate the integrals

A: Given integral to evaluate ∫-44xdx The modulus  function is given by  x=x        if x≥0-x    if…

Q: evaluate the indefinite integrals. (8sec2(3x)+5tan(2x))dx

A:

Q: Evaluate the integrals in ∫3 dx/3x - 2

A: We have to evaluate the integral ∫33x-2dx

Q: Evaluate the integral. 3x In x' хр

A: Integration need to be done after proper simplification of the term.

Q: Evaluate the integrals using the substitution method of e8x dx

A: To evaluate the integral: ∫e8xdx Solution: Let substitute t=8x. Differentiating both sides, we get…

Q: хах x2+x+1

A:

Q: x²dx 8. S a4-x4

A:

Q: Evaluate the integrals.

A: The given integral is ∫022x+13 dx. Evaluate as follows.

Q: What is the integral of 2.9^x from x=1 to x=4?

A: This question related to integration.

Q: Use canine friendly methods to compute the integral da. Vz(1-2)

A: Let I be given byI=∫01x4x1-xdxlet C be the classical dog bone contour around [0,1] in the complex…

Q: (5) Find the integrals: •ftan²(x) dx ● fsec²(x) dx • ftan³(x) dx ●

A:

Q: Evaluate the integrals ∫x3x2 dx

A:

Q: Use a table of integrals or 6. 1 dp- x² -4 3

A:

Q: Evaluate the integrals ∫(3x2 - 4x + 7) dx

A: ∫3x2-4x+7dx Formula ∫xndx=xn+1n+1+C

Q: 1. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

A:

Q: 1. x² +1

A: some integrals are given, we have to integrate it

Q: Evaluate the indefinite integrals. 3x(4x-1)7dx

A:

Q: Evaluate the integral

A:

Q: Evaluate the indefinite integral. 4 V3+ adx + C

A:

Q: evaluate the integrals by substitution method

A: I =∫x2x+1 dx

Q: Find the indefinite integral. S 8x In(3æ)dæ A. +C B. 8 ln(3x) +8x + C C. 8x ln(3x) –- 6x² + C D. 4r²…

A: To evaluate ∫8x ln(3x) dx...(1)

Q: Evaluate the integrals.∫(3x + 1)(3x2 + 2x + 1)3 dx

A: Consider the following integral: I=∫3x+13x2+2x+13dx Substitute 3x2+2x+1=t→6x+2dx=dt→3x+1dx=12dt in…

Q: Evaluate the integrals using the substitution method of sec2 (4x) dx

A: Given: Let I=∫sec24x dx To Find: To evaluate the given integration using substitution method

Q: find the double integral Is 2. 3. yoa yatı

A:

Q: Evaluate the improper integral x3

A:

Q: 2 Evaluate the integral of x^3/square root (x^2+4) using a trig sub

A:

Q: Evaluate the integrals ∫dx/8 + 2x2

A: Given- ∫dx8+2x2 To find- The value of the integral. Concept Used- ∫1a2+x2=1atan-1xa

Q: 2. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

A: While solving this indefinite integral, we need substitutions twice.

Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.

Q: dx /3-2x-x² 2

A:

Q: 1 use this fact and the properties of integrals to evaluate (5 - 6x2) dx. Given that

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.