Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then by a u-substitution in the corresponding indefinite integral. (4 – 3x)² dx = 1

Q: Evaluate the indefinite integral. [8х + 3 dx x2 + 1 + C

A: we have to find the following indefinite integral.

Q: Find the following indefinite integral: ∫12x (x2 – 9 )-3 dx. Hint: Use a Substitution

A: Given: I=∫12xx2-9-3dx for evaluating given integral, we substitute x2-9=t…

Q: Evaluate the definite integral. 1 ex dx 10 1 + e2x

A:

Q: Jse the Substitution Method to evaluate the definite integral. * (In x)* dx

A:

Q: Evaluate the definite integral. (1 – x)² dx

A:

Q: Use u-substitution to find the definite integral |4xe -3x+7 dx . Please clearly show all -k.

A: By u - substitutions

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A:

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: Evaluate the definite integral.

A:

Q: use the Change of Variables Formula to evaluate the definite integral.

A:

Q: Evaluate the definite integral. xe dx Jo

A: using substitution method

Q: Evaluate the definite integral. Write your answer in terms of . (y +1) dy

A:

Q: -21 1 (1 + 3x)2 dx

A:

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A: Use the following formulae, to obtain the solution. dax=adx, where a is a constant.…

Q: -13 dx 2. So 3 ((1+2x)2

A:

Q: Evaluate the indefinite integral given below using the indicated substitution. /-20 -2(-2x +9)³ dx u…

A:

Q: dx x2 +3 Evaluate the indefinite integral

A: To evaluate the integral: ∫xx2+3dx Solution: Given,…

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A:

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: Evaluate the definite integral given below. 7 dx 16+16x? Enter your answer in exact form.

A:

Q: Evaluate the indefinite integral. 9x -dx x2 + 1 + C

A:

Q: Evaluate the definite integral. 1 ex dx 0 1 + e²x JO

A: We will solve the definite integral.

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: Find the indefinite integral. xx-6x+9 f ***) dx 3.

A:

Q: Find the indefinite integral. x +8 -dx X +8 -dx (Use C as the arbitrary constant.)

A: Given,

Q: Evaluate the indefinite integral: x + dx + C.

A: Given ∫6x+7xdx

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: Evaluate the definite integral. Provide an exact answer: 2x dx

A: Detailed solution is given below.

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A:

Q: Find the indefinite integral f x5e 2x°dx .

A:

Q: Evaluate the definite integral. Show all steps. dx V(x' +1)

A: Explanation of the answer is as follows

Q: – dx x Inx x²+1

A:

Q: Evaluate the definite integral two ways: first by a u-substitution in the corresponding indefinite…

A:

Q: Find the Indefinite Integral. (R 1 dx XV 4x + 81

A:

Q: Evaluate the definite integral. 13 x/x - 9 dx J10

A:

Q: Evaluate the indefinite integral given below using the indicated substitution. -10x (-5x² - 10)¹ dx…

A:

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A: Given,           ∫133xx+1dx

Q: Zvaluate the given indefinite integral. Show your detailed solution. (Non-anonymous questionO) 2x2…

A:

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: Evaluate the indefinite integral. x2 dx V0.2x3 + 2.7 + C

A: The query is to find the value of the given indefinite integral: ∫x20.2x3+2.7dx

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A:

Q: Consider the indefinite integral dx: (x4 – 1)* | This can be transformed into a basic integral by…

A:

Q: Evaluate the indefinite and definite integral (2e* - 3e-2x) dx

A:

Q: 2 e-t + 3te5-t dt.

A: Given : ∫12e-t+3te5-t2dt

Q: Find the indefinite integral. x² + 8x + 1 dx x3 + 12x2 + 3x + 6 Step 1 Begin by rewriting the…

A: follow next step

Q: Evaluate the indefinite integral. -1 -dx x2 + 12x + 36 Answer:

A:

Q: Use the substitution u = x + 14 to find the following indefinite integral. Check your answer by…

A:

Q: Evaluate the definite integral two ways: first by a u- substitution in the definite integral and…

A: Given that a integration and we solve this integration by using general formulas of integration. We…

Q: Use the Change of Variables Formula to evaluate the definite integral. 6 In x dp- 1

A:

Q: Find the indefinite integral by using the substitution x = 4 tan(0). (Use C for the com 4x2 dx (16 +…

A: on solving this we get the