+ sin(2)-seo (2) e а. xp: 2

Q: Find the general indefinite integrals integral of x(x3+2)2dx integral of 3x2(x3+1)4dx

A: The given integral of  xx3+22dx     =    ∫xx3+22dx = ∫xx32+2(x3).2+22dx  = ∫x7+4x4+4xdx =…

Q: Evaluate the integral. (Use C for the constant of integration. x² 3/2 dx - 4x²)2 3 + 4x

A: We have∫x23+4x−4x232dx

Q: 18tan"x Sec-x dx (िकपन इ)"

A:

Q: •2 dx

A:

Q: JxVx-6 dx cos(x) dx sin(x)+2

A:

Q: Find the indefinite integral using any method ∫ (3x3 + 4x) /(x2 + 1)2 dx

A: We have to evaluate

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

A:

Q: Find the indefinite integral by method of partial fractions. You must show all of your work. 2…

A:

Q: Evaluate the following Integrals using Integration by Partial Fraction. Show all the solution.

A:

Q: Evaluate the integral from -1 to 0 using partial fractions: ∫(x3-4x+1) / (x2-3x+2) dx

A: Here we use partial fraction: ∫1(x-a)(x-b) dx=A(x-a)+B(x-b)

Q: x³ + 4 dx x (x+1)

A:

Q: 1 dx 1 – x?

A:

Q: to de 4

A: For    kx2 - a2  we can use substitution kx = asecθ . Then use trigonometric identity to simplify it…

Q: Q5. (a) Evaluate the integral using integration by parts rule if fx'sin' 2x dx (b) Express the…

A:

Q: 1. Evalute the improper integral 3x dx. 1+ x2

A: Given: ∫-1∞3x1+x2dxTo evaluate the improper integral:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(6x + 7)8dx

A: Given:

Q: Evaluate the integral by integration by partial fractions

A:

Q: x³ + 12 dx. x² + 6x + 8

A: Please see the explanation below

Q: Evaluate the integral. (Use C for the constant of integration.) | (4x4 - 3x-2 + 5x-5 + 2) dx

A:

Q: Evaluate the integrals using partial fraction 3y²-y+! S y³ - y² dy

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 7)8dx

A:

Q: Use the Method of Partial Fractions to set up a new integral equal to the indefinite integral below.…

A: We have, the given integral as I=∫53x3+12xdx Let us consider that, fx=53x3+12x On solving further,…

Q: dx ¤(x+2)²

A:

Q: Use partial fractions to find the indefinite integral. (Remember to use al 9-x2 10 dx 5x³ + x

A:

Q: x cot x²dx b. J 1+3sin x?

A:

Q: valuate the integral using Partial Fraction Technique: 7- 5) (x – 9)2 dx

A: To evaluate: ∫xx-5x-92dx. Simplifying the expressio using partial fraction decomposition.…

Q: Find the indefinite integral of S Option 1: Option 2: Option 3: x ln |1x|+C x ln x + C In 1-x| X + C…

A:

Q: dx

A:

Q: 4 dx 7). S x4-1

A:

Q: Evaluate the integrals: 1. 2. -2 dx 0 8+2x² x+3 2x3-8x S - dx

A:

Q: Use partial fractions to find the indefinite integral. integral((x^2-x)/(x^2+x+1))dx

A:

Q: Consider the improper integral: x² +2x+2 dx what will be the appropriate solution and answer? A Im…

A: ∫0∞1x2+2x+2dx

Q: х — 3 х3 -4х

A:

Q: 2x – x3 1. Evaluate dx. (r – 1)²(x²+1). -

A: we want to find the value of the given integral I=∫2x-x3(x-1)2(x2+1) dx

Q: Use partial fractions to find the indefinite integral ∫ 5 / (x2 + 3x − 4)   dx

A: Evaluate: ∫5x2+3x-4 dx

Q: (2x+11)dx x²+x-6

A:

Q: .2 32. 8x dx, x > 8 -

A:

Q: 212. -dx (x + 2) (2 – x)

A:

Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. 2 |…

A: Use substitution method

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A:

Q: To evaluate: The integral function x2 +x + 1 -dx. (x² + 1)²

A:

Q: 2x3 - 4x2 159x + 71 dx | x2 – 2x – 80 -

A: Explanation of the solution is given below...

Q: csch (2sin 2x)dx 1. V1-4x

A: Given problem:-

Q: | rv25 – x2 Evaluate the indefinite integral. dx xv 25 – x2 -

A:

Q: To evaluate the integral of any rational function, we must use integration by partial fractions…

A: We have to check

Q: 32. ³+x²+x+2 + 1)(x² + 2) dx

A:

Q: (3x-3) dx (x²-2x+1)(x²+2x+8)

A:

Q: 4x2 – 1 -dx. J 3(3x + 1)

A:

Q: Evaluate the integral using integration by parts rule if [x cos 2x dx 5) Express the integrands as a…

A: