1/4 we use the substitution u = (x²+1)² on the definite integral (x³+x)(x²+1)23 dx then the integral becomes du

Q: 12. What value of b> - 1 maximizes the integral? b A nolh | x-(1-x)dx Simplify-1 following…

A:

Q: 1 So x2-4 dx an improper integral. (5 points each) 3. Find a value of b >0 that makes

A: Given the function :

Q: Q3. (30pt) Calculate the integral 2x³ – 4x + 1 - (1– cos x) dx 1+x? a) for n= 10 according Simpson…

A:

Q: 5 Find the following indefinite integrals. 10 a. f(x+2)' dx b. J d. [4 (3-&x) dx c. (3x-7) xp-

A: c)

Q: 1. Find the definite integrals of the following functions : (a) L. 4.x dx (h) dx ex +1 -2 0. (b) /…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: 3. Find the indefinite integrals. (a) /4 dx (b) /2* r 2x-x2 dx

A: Given two functions integrate it by use of formulae

Q: Find the indefinite integral.

A: Let ex+e-x=v. Differentiate both sides: (ex-e-x)dx=dv Substitute v and dv in the integral…

Q: Find the indefinite integral. 3 8 dt = t3 t2 +C

A:

Q: A. Evaluate the following indefinite integrals using the Power Rule: 1. SE Va dx 2. S dx 3. S(-Vx +…

A:

Q: Q2) Evaluate the integral x dx a -0.

A:

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 eCos-1x 5. S V1-x2 6. Se…

A:

Q: 5x+6 Consider the indefinite integral e+0 dx:

A: given equation= e5x+6

Q: How do I find K of the integral e^(x^2/2)dx on the bounds from 0-2 what is E_T? and what must n…

A: Given: The error in trapezoidal rule is given as:

Q: Q3: a) Evaluate the following integrals: 1. f sin2x 1+ cos²x dx. √9-x2 2. fv-x² dx 3.f 1+x dx

A:

Q: 2 Evaluate the definite integral S: 1 dx. 1 x+a2 ter -17 a- 19

A: solution:

Q: 2e Consider the indefinite integral dx: (e2z + 3)* This can be transformed into a basic integral by…

A: Given,

Q: Evaluate the definite integral. 10x dx 19+5x2 Select one: OA. - 2 1 + 6 B. 14 2 2 C. VT - 3 D. 2/T -…

A:

Q: Solve the Indefinite Integral. xe²t S dx (2x+1)² A [1-21] +0 e2x 2x C 4 2x+1 B. 2-2(22+1) + C 4 C.…

A: SOLUTION-

Q: Evaluate the integral. dx (х — 9)(х — 18) (Use symbolic notation and fractions where needed. Use C…

A:

Q: 4.1 Given ∫(−2x6+3x5−3x3−6)dx, evaluate the indefinite integral. Do not include +C in your answer.

A:

Q: 12x + 18 1. What is the indefinite integral of / dx ? x3 + 5x2 + 2x -8

A: According to our terms and condition i have solved first question for next question repost. The…

Q: 5. S,(x-4)(x2-8x – 1)3

A: Solving the given integral.

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd .

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

A:

Q: 11. The integral of an(In|4x=12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. С. 4 D. I

A:

Q: (d) (x² + 1)² dx (e) L dx (x² + 1)² (f) eir dx

A: d. Given

Q: 5. Find the indefinite integral. A) f dx (x-3)Vx -6x+5

A:

Q: 4. Use residues to evaluate the improper integral 1t r4 a + x2 dx; where a is a real constant.

A:

Q: -5e 1 Evaluate the integral: dx. 1 x A. - - 1 5e B. 1+ In 5 C. 0 D.00

A: We have to evaluate to integrate

Q: Evaluate the integral. dx (х — 13)(х — 23) (Use symbolic notation and fractions where needed. Use C…

A: Explained below

Q: find the indefinite integrals. 1. ∫ e−0.05t dt 2. ∫ (3/t  -  2/t^2)  dt

A: case 1:The given indefinite  integral  is ∫e-0.05t dt.Let u = - 0.05t, then du/dt = -0.05.

Q: on 1. Complete the following computation a' In(8x)dx via integration by parts f(x) = In(8x) and…

A:

Q: 2) evaluate the indefinite integral £x² 9+X² dx

A: The main objective is to evaluate the integral. The integral formula is ∫xndx=xn+1n+1+C, where C is…

Q: 8x dx Evaluate the given integral: S; 4x2-5

A: Here we have to evaluate I=∫8x4x2-5dx

Q: Q2) Evaluate the integral x3 dx 3 a *0.

A:

Q: 7. Evaluate the definite integrals: a) L, (x2 +1) dx b) 3x dx

A:

Q: -2 Evaluate the definite integral S: 1 dx. 1 x+a²

A: general answer is Ln|(2+a^2)÷(1+a^2)| Where a = -3/5 Final answer is Ln|59/34|

Q: 72. (a) Use integration by parts to show that, for any positive integer n, dx (x² + a²)" dx 2a (n -…

A:

Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: 3. (а) Evaluate the indefinite integral 2Varctan(3x) dx. 1+ 9x² •16 (Б) Suppose we know that (3f (x)…

A: (a) We need to evaluate the following integral ∫2arctan(3x)1+9x2dx (b) We need to evaluate the value…

Q: I'm having trouble figuring out why the integral of e-3x dx is equal to (-1/3)e-3x. I do not know…

A: Given:    f(x) = e-3x

Q: -1 х2 Using substitution method, evaluate the integral Jo dx 0 x3+1

A:

Q: Evaluate the definite integral. *2 e 1/x* dx J1 +s

A:

Q: 10. Find the indefinite integral. x – 2 dx x² + 1 -

A:

Q: 3 Evaluate the definite integral dx. (x- 5)4 -2

A:

Q: 8x dx Evaluate the given integral: J 1x2-5

A: Recall: ∫1ax+bdx=1alnax+b +C; where 'C' is an integration constant.

Q: 5. Evaluate the definite integral (1+lnx)² dx а. 1 dx. b. -1 2x+3

A: Explanation of the answer is as follows

Q: 1. Find the general indefinite integral or evaluate the definite integral, as necessary. dx b) S,…

A:

Q: Evaluate the given definite integral. -2 . Jx(3-x²)*dx -3 -2 S2x(3-x)°d dx = (Type an integer or a…

A:

Q: 23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable,…

A: