Question: Using the substitution u = (x + 2), evaluate the definite integral 2 -2 (x + 2) x+6 -dx

Using the substitution u = √(x + 2), evaluate the definite integral

2 -2 (x + 2) x+6 -dx

2 -2 (x + 2) x+6 -dx

Step by Step Solution

★★★★★

3.51 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Setting u x 2 or u x 2 gives 2u du dx Regardi... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

Q:

a. Evaluate tan x sec 2 x dx using the substitution u = tan x. b. Evaluate tan x sec 2 x dx using the substitution u = sec x. c. Reconcile the results in parts (a) and (b).

Q:

a. Evaluate cot x csc 2 x dx using the substitution u = cot x. b. Evaluate cot x csc 2 x dx using the substitution u = csc x. c. Reconcile the results in parts (a) and (b).

Q:

a. Evaluate x ln x 2 dx using the substitution u = x 2 and evaluating ln u du. b. Evaluate x ln x 2 dx using integration by parts. c. Verify that your answers to parts (a) and (b) are consistent.

Q:

calc Using the substitution: u = x - 8. Re-write the indefinite integral then evaluate in terms of u. -Ax"(28 -8) da = /0-0 Note: answer should be in terms of u only Part 2. Back substituting in the...

Q:

calc Using the substitution: u = x - 8. Re-write the indefinite integral then evaluate in terms of u. -Ax"(28 -8) da = /0-0 Note: answer should be in terms of u only Part 2. Back substituting in the...

Q:

Integrals 1 (Power, Basic Exponents & Logs, Derivatives of Integrals (FTOC - Part 1)) Worksheet #11A This worksheet is graded on completion. You must complete the entire worksheet to earn any credit....

Q:

7. [-/1 Points] DETAILS TANAPCALC10 6.5.005. Evaluate the definite integral. x2 ( x3 + 1) 3/2 dx o Need Help? Read It8. [-/3 Points] DETAILS TANAPCALC10 6.5.005.EP. MY NOTES ASK YOUR TEAC Consider...

Q:

4 For the function v=12sin 40 , calculate the integral. What is the specific value of the area over a range of Osos" radians. 5 A complex function can be modelled by the equation: S (3x? ) ( x ) + 7)...

Q:

5.4 Homework - Indefinite Integrals, Net Change (Homework) 6. [-/1 Points] DETAILS SCALCET9 5.4.033.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the general indefinite integral. (Use C for the...

Q:

Please help me answer the following questions ! Find the indefinite integral. Evaluate the definite integral: ( exx ( @2x + 5 ) dx -dx = 2 xVIn x Answer: Check Evaluate the indefinite integral: 5x2 V...

Q:

When Harpreet borrowed money, he originally agreed to repay the loan by making three equal payments of $3000, with a payment due now, another payment due two years from now, and the final payment due...

Q:

Consider the stock of Davidson Company that will pay an annual dividend of $4 in the coming year. The dividend is expected to grow at a constant rate of 4 percent permanently. The market requires a...

Q:

how would you journalize the trasnactions? Show all images Show all images Show all images done loading

Q:

4. Explain the concept of statistical significance versus practical significance.

Q:

The wires AB and AC are made of steel, and wire AD is made of copper. Before the 150-lb force is applied, AB and AC are each 60 in. long and AD is 40 in. long. If the temperature is increased by 80F,...

Q:

The 50-mm-diameter cylinder is made from Am 1004-T61 magnesium and is placed in the clamp when the temperature is T 1 = 15°C. If the two 304-stainless-steel carriage bolts of the clamp each have...

Q:

The 50-mm-diameter cylinder is made from Am 1004-T61 magnesium and is placed in the clamp when the temperature is T 1 = 20° C. If the 304-stainless-steel carriage bolts of the clamp each have a...

Q:

Sunland Corporation enters into a 7-year lease of equipment on December 31, 2016, which requires 7 annual payments of $39,300 each, beginning December 31, 2016. In addition, Sunland guarantees the...

Q:

Restrictive Stock Units can be paid out as: Question 18 options: Signing bonus Regular compensation Performance bonus All of the above

Q:

Farmer Donald bought a $1.70 strike put option for $0.11 and sold a $1.75 strike call option for a premium of $0.14. His total costs are $1.65 per bushel and the continuously compounded risk-free...