Evaluate the integral or state that it is "divergent" -5 х — 2 dx х2 +x — 6

Q: Find the indefinite integral ∫(t2i + 5tj + 8t3k) dt

A: Given ,∫t2i+5t j+8t3Kdt

Q: Write the integral in terms of u and du. Then evaluate:  ∫ (x − 7)3 dx, u = x − 7

A: ∫x-73 dx Put, u=x-7⇒dudx=1-0⇒du=dx Therefore, ∫x-73 dx=∫u3 du

Q: g+y= 쓸 - zxe - 5

A:

Q: he resulting integral of dx is ax + b ln x -Arctan +C, where a, b, d, e, and x3-2x2+5x are integers.…

A: b=2

Q: 4 dx, u= 1 + 2x (1 + 2x)

A: Explanation: Given that: ∫41+2x3dx,      u=1+2x Concept: 1. ∫xndx=1n+1xn+1+C Calculation: First…

Q: Evaluate the integral. 17 dx 2 Vx² – 1 - NOTE: Enter the exact, fully simplified answer.

A: Let's find.

Q: Evaluate the integral 1-e-4x sin z cos 3rdr

A: According to the given information, it is required to evaluate the integral.

Q: Evaluate the integral. 1 -dx J-3 (x + 6)(x² + 9) Answer:

A: Ans = 0.07456 First do the partial fraction so that it can be integrate simply as I have done in…

Q: Evaluate the integral 7ª S* (y cos x + 4) dydæ.

A: The detailed solution is given below Thank you

Q: 3 9-x 1 dy dx dz V9-2? (x² + y²)1/2 3

A:

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: Evaluate the integral. (x+1) cos(6x) dæ

A:

Q: Evaluate the integral. (Use C for the constant of i 4x2 + 3x + 4 dx (x² + 1)2

A:

Q: Evaluate the integral (* - 11)"dz, by making the substitution u = x* – 11. + C

A: We will solve this integration by substitution

Q: Evaluate the integral by making the given substitution. (U | cos12 0 sin 0 d0, u = cos 0

A: Given : ∫cos12θsinθdθ

Q: Evaluate the integral. x2 cos(6 x) dx + C

A:

Q: Evaluate the integral. V4– e2¤ dx +C

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Make the substitution u = and evaluate the resulting definite integral. +oo dx = V7x

A:

Q: 2 Væ? – 1 -dx. x² 1

A: Here , we will solve the integral using substitution form .

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. dy dx - x²

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the integral: el/z dx -1

A:

Q: Evaluate the integral using the given substitution. Sx cos (10n2) dx, u = 10x² sin (10x²) - C sin…

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

A:

Q: In Exercises , use a substitution to change the integral into one you can find in the table. Then…

A: 27. Given integral is, ∫x3+x+1x2+12dx.   It is integrated as follows:

Q: Determine whether the integral is divergent state your answer as "DNE" 5e-x dr 8.

A: The given question as belonging to the integration in which we have to find the value of the given…

Q: Evaluate the integral. Express answer as both exact and using 2-decimal places. • T X 4 S 2cos X…

A:

Q: Evaluate the integral using the given substitution. (Vx cos (x3/2- 4) dx

A:

Q: Evaluate the integral (= - 11)" de, 26 by making the appropriate substitution: u = 26 |- NOTE: Your…

A: Proceed as shown below...

Q: Transform the integral fo So sin o ne do de by the substitution x = sin o cos 0, y = sin o sin 0 and…

A: The given integral is, ∫0π2∫0π2sinϕsinθ dϕdθ To substitute x=sinϕ cosθ  and  y=sinϕ sinθ The limits…

Q: (뚜 - 굶) da 3x Evaluate the integral J (* – 3) dx.

A:

Q: Consider the integral dx x . Using u-substitution, what is an appropriate u and du? -2x 2e

A:

Q: Evaluate the integral. ∫e-θ  Cos 2θ dθ

A: Given ∫e-θ  Cos 2θ dθ

Q: Find the integral for positive integers m, n sin mx cos nx dx -T

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Find the integral a 3x? cos (x ) dx where a is some positive real number.

A: Given : ∫0a3  3x2cosx3dx , where a is some positive real number

Q: Write the integral in terms of u and du. Then evaluate.

A:

Q: Evaluate the integral 0.8 x · In(6 sin r) dæ.

A: Let us assume: u=6sinxdu=6cosxdxcosx·dx=du6 At x=0.2, u=6sin(0.2) At x=0.8, u=6sin(0.8)

Q: Evaluate the integral. x² cos(3 x) dx =| + C

A:

Q: Write the iterated integral ∫10-10∫200 (x2y + 2xy3) dy dxwith the order of integration reversed.

A: To evaluate: ∫-1010∫020x2y+2xy3dydx. Evaluating the integral.…

Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

A:

Q: Evaluate the integral. 19 dx x²Væ² – I NOTE: Enter the exact., fully simplified answer.

A: To evaluate:∫2219x2x2-1dx

Q: Evaluate the integral.

A: ∫ex1+exdx Formula ∫xndx=xn+1n+1+C

Q: Evaluate the integral. | Te" cos(2x) de = 7e* cos(2x) dx +C

A:

Q: Evaluate the integral 50 3)dx - by making the substitution u = x 6 – 3. + C NOTE: Your answer should…

A: We will integrate the following.

Q: 11 dx Evaluate the integral: , (5æ+6)² 11 55

A:

Q: The improper integral J 1 r2-4x-5 dx is given by:

A: In this question, we reduced the integral into trigonometric form by using suitable transformation.

Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Evaluate the integral. dx 9, NOTE: Enter the exact answer.

A:

Q: Use the substitution formula to evaluate the integral. T/20 (1.clan 5x) sec2 5x dx Select one: O A -…

A: Substitute the trigonometric function in some other variables.

Q: Evaluate this integral.  I = ∫ 3 0 | x^2 - 4 | dx.

A:

Q: Evaluate this integral I = ∫ a 0 x^2 √(a^2 - x^2)   dx. Then determine whether the statement is true…

A: Given integral is,