. Find the indefinite integral of the following functions Hint: use substitution method (a) / v (d) / 5 + 2x dx (x2 2 (b) / r(3=² – 4)* dz (e) / x² + / (c) dx x² + 1

Q: 7. Evaluate the following integrals: a. S cosh x sinh x dx b. dx S- 2 + 2x + 3 C.

A:

Q: (b) / e*+e* dx.

A:

Q: 1. Find the following integrals using the graph below: g(r) -2 lo

A: Consider the graph

Q: Find the indefinite integral of the following. Show your full sol 1. (3 – 2x)°dx 2. 3(x – 1)(2– 3x)…

A: Given, To evaluate a) ∫15(3-2x)2dx  b) ∫263(x-1)(2-3x)dx

Q: Find the following indefinite integral. (5 -0.25x Jox=D -0.25x +3e d%xD (Type an exact answer in…

A:

Q: If you are asked to find the indefinite integral of f(x) = x ln(x), and you are told to integrate by…

A:

Q: x3+4x dx x²-1

A:

Q: Find the indefinite integrals, if possible, using the formulas and techniques.

A:

Q: Evaluate the following indefinite integral using Partial Fractions S x² +4 (x²+4x+3)(x-2) dx

A:

Q: Question 13

A: 12. Given Rewriting the function: Applying the antiderivative with respect of x:

Q: IV. Evaluate each of the following indefinite integrals. 1. ſ v2-3x dx

A: Evaluation of the integral

Q: Q16: Compute the following indefinite integral xʻe*dx

A: Please find the solution of questions.

Q: 1+x+x* dx x2

A: The given integral is: ∫1+x2+x4x2dx Let, I=∫1+x2+x4x2dx

Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

A:

Q: I = 1 + (x-a)k dx [x-a

A:

Q: Evaluate the following indefinite integrals: a) ∫ (1/x + 3/x2 - 4/x3 ) dx b) ∫ (x2 + 2x - 5) / √x dx…

A: The derivative of the function is the measure of how fast the function is changing with respect to…

Q: Q1 - Find the reduction formula for each of the following integrals iv. In = S sinh"x dx

A:

Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx =…

Q: 2. Calculate each of the following indefinite integrals: а. b. dx e* +1 dx: Vx' -1 In x dx С. d. 5x…

A:

Q: Find the following indefinite integrals subject to the initial conditions a) y'= with y(1)=0 x²+6'

A: topic - differential equations

Q: 1. Use formal substitution to find the indefinite integral (a). de f(-6a) (r-3) de (b)

A:

Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

A:

Q: Find the indefinite integral. (Hint: x² – x-4 ) g6 – 1 dx + C

A:

Q: ~2 .4 x* +1 dx 1 J1

A:

Q: 1. Find the following integrals using the graph below: g(x) dx 24 g(x) 4 g(x) dx )dx g(x)dx

A:

Q: S 2x. e*dx а. 4 3 b. S 20(2x + 1)°dx 1

A:

Q: 5 Find the following indefinite integrals. 10 b. J- S(x+2)' dx a. (3x-7) xp-

A:

Q: Find formulas for the functions represented by the integrals.

A: Find formula for the function represented by the given integral: ∫1x2 t dt

Q: Evaluate the following indefinite integral. + 4/x dx + 4/x dx = ||| (Use C as the arbitrary…

A: Evaluate the given indefinite integral:

Q: Evaluate the following definite Integrals by using Gamma or Beta Functions: 5 (a) [√4x In (V√x)] idx…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) xp x(In x8)9 1 + C g10in (x…

A: Please see below.

Q: Find the following indefinite integrals 1. Sx(x² – 2)5 dx

A:

Q: Find the following indefinite integrals subject to the initial conditions 2572 b) y"= (x + 1)/2 with…

A:

Q: a) S dx =? 2 X*V2x+4

A: Given: ∫dxx22x+4

Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

A: The integral is  ∫ln6x-3lnx4xdx

Q: Evaluate the definite integral integral a=0 and b=1    7/ 1+x2 dx

A: Refer to the question, we have to solve the definite  integral a=0 and b=1    7/ 1+x2 dx.

Q: Find the indefinite integral

A: To evaluate: ∫2x+1ex2+xdx Let substitute t=x2+x dtdx=2x+1dt=2x+1dx Substituting the value,…

Q: Q4. Find the integral of the following functions x dx (x-1)(x2+2x+1)

A:

Q: find formulas for the functions represented by the integrals.

A:

Q: 4. Compute each of the following definite or indefinite integrals. Show all work toward your answer.…

A:

Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: 1. Find the following indefinite integrals. 1 (а) xp /3 – x²

A: We can find the integrations as below

Q: 1) Find the indefinite integral of the following functions: 3 2x+ 3x4 a) y = Axt B 3 b) y =x-1 +…

A: Indefinite Integration

Q: (d) L™ x³ cos(x* + 5) dx. (e) f(2x – 1)³ dx . -

A: For the given integral  ∫0π4x3cos(x4+π2) dx

Q: Evaluate the following indefinite integrals. Show your solution. 1. f5 einx(sin x + cos x) dx ecos…

A:

Q: dx 1. S (2-3x)2 2. S V2x + 1 dx

A:

Q: 3. Evaluate the following definite integrals using a change of variables. a. F sin(2x) dx b. [x Vx+1…

A:

Q: Find the complete integral of the following equation PDE By charpit's pq+2y(x+1)p+x(x+2)q-2(x+1)=0

A: Given : The equation of the PDE is : pq+2y(x+1)p+x(x+2)q-2(x+1)=0…