За? dx is equivalent to Using substitution, the definite integral ... /x³ +1 c12 u żdu ... A •12 u zdu ...

Q: Evaluate the indefinite integral given below using the indicated substitution. 1-20 -2(-2x + 9)³ dx…

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Q: What is the value of the definite integral, ¿ xp- 「京+Na-x

A: Given integral, ∫0axx+a-xdx

Q: Find indefinite integral.

A: Given the indefinite integral ∫-u2-u2 du To evaluate the integral  Let I=∫-u2-u2 du

Q: Decide whether the integral is improper. Explain your reasoning.

A: At every point between 0 to 2, e^-x exists and finite.  So this integral is not improper.

Q: 3. Use a substitution to evaluate the following indefinite integrals, clearly stating the…

A: We will solve the problem

Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: What is the integral of a function e raised to the power -n .?

A: topic- integration

Q: Evaluate the indefinite integral by using a u-substitution. dx V1 + x

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Q: Evaluate the indefinite integral:  ∫ z2(z3 + 1)12 dz

A: Substitute u=z3+1,du=3z2.

Q: Decide whether the integral is improper. Explain your reasoning.

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Q: fre x'e*dx

A: Given: ∫0∞x2e-xdx

Q: Express the integral in terms of the variable u, but do not evaluate it. e13z-12 dr; u = 13x – 12…

A: by substitution method we can solve this

Q: Evaluate the definite integrals using properties of the definite integral and the fact that 4. 4…

A: given : ∫-52f(x)dx=-3 , ∫24f(x)dx=8 , ∫24g(x)dx=8(a) ∫-5210f(x)dx=10∫-52f(x)dx=10×(-3)=-30…

Q: Which of the following is an improper integral?

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that 5 5 S √³…

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Q: integral of 70/t+9

A: Integrate the following function with respect to “t”.

Q: Evaluate the definite integral. Round your final answer to three decimals. 53 298, 512 dt t3 Vt? –…

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Q: 0 ✓1+13xdx

A: Given that ∫021+13x3dxSolution:let 1+13x=t313dx=3t2dtdx=3t213dtat x=0,t=1at…

Q: 6x2 – 10x + 2 dx x3 – 3x2 + 2x -SA+B+C A + B + C dx Question: What is A, B, C? And also evaluate the…

A: It can be solved using partial fraction decomposition.

Q: What does the integral sign represent?

A: Consider  ∫f(x) dx

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to ote an…

A: ∫ -2x1-x2dx

Q: Evaluate the indefinite integral. -1 x2 = xp 21 (x²–7)5/2 (x² – 7) * Remember to use capital C.

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Q: Evaluate the definite integral | (10z + 9)dz

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Q: Consider the indefinite integral 7x4 dx 7x5 – 9 - (a) The most appropriate substitution

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Q: Select the basic integration formula you can use to find the indefinite integral. dt du Va? - u? 이…

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Q: In evaluating 4-x dx by substitution, if u =4-x then what will be the resulting indefinite integral…

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Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: Given: ∫6x+59x2+15x3dx Evaluate the given integral using the substitution method. A function that…

Q: Express the integral in terms of the variable u, but do not evaluate it. 12x-11 dx; u = 12x – 11…

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Q: Evaluate / xV16 – 4x² dx. Since this is an indefinite integral, include +C in your answer. Sorry,…

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Q: Evaluate the indefinite integral. | #(2? + 5)* da 4

A: Given, ∫x(x2+5)4dx Substitute   u=x2+5 ⇒du=2x dx ⇒x dx=du2 ⇒∫u4du2 We know that, ∫a.f(x) dx=a.∫f(x)…

Q: the one i circled is the one i am struggling on. i need help with that problem.

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Q: Rewrite as the equivalent definite integral in terms of u, but do not evaluate. 12x -dx (3x2 + 1)?…

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Q: Decide whether the integral is improper. Explain your reasoning.

A: Given: ∫1∞lnx2dx

Q: p (a- )| Evaluate the Integral

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Q: Decide whether the integral is improper. Explain your reasoning.

A: Given- ∫12dxx3 To decide- Whether the given integeral is improper. Concept Used-  Using the power…

Q: For exercises 1- 3, find each of the indefinite integrals. Use "u" substitution where appropriate.…

A: Integral solution

Q: (2) cosesin°ede

A: The given indefinite integral is ∫cosθsin6θdθ Solve by Substitution method  Substitute sinθ=x…

Q: Evaluate the definite integral. 24 Jo dx V9 + 3x

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Q: 3 -dx 4 - x

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Q: How do you evaluate this integral?

A: Given integral is ∫01xsinnπxdx

Q: 2. e2" Ve² + 2 dx

A:

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

A: Given : ∫12e-t+3te5-t2dt

Q: x4 – x³ – x – 1 dæ - x3 – x² -

A:

Q: Evaluate the indefinite integral given below. [(1 (10-20x4) csc² (2x5 - 5x) dx

A: We have to evaluate the indefinite integral ∫10-20x4 csc22x5-5x dx.

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

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Q: (a) Change variables using the substitution u = =t. Explain why that won't help with solving this…

A: As per policy, we are allowed to answer only 1 question at a time. So, I am answering the first…

Q: Evaluate the definite integral: 0.8 4ze-2%dz = -0.2

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Q: Sx (x² + 4)5 Se3*dx

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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: integrals.

A: It is a simple integration