Evaluate the indefinite integral (x > 0). (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) 1 dx = V121x2 - 1

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

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Q: dx I = a² +x²

A: Given query is to find integration of the expression.

Q: (b) / e*+e* dx.

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Q: dx 1 = S- g2+x2

A: Solve

Q: Find the indefinite integral

A: Formulae used: ddxxn=nxn-1ddxC=0∫12xdx=x+C∫1a2+x2dx=1atan-1xa+C

Q: Find the indefinite integral dt. Do not include the constant "+C" in your answer. For example, if…

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Q: Find the indefinite integrals, if possible, using the formulas and techniques you have studied so…

A: the question is taken from the calculus in which we have to find the value of the given integral so…

Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

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

A: Evaluate the indefinite integral as follows.

Q: Find the indefinite integral of the following. Show your full sol 1. (3 – 2x)°dx 2. 3(x – 1)(2– 3x)…

A: Given, To evaluate a) ∫15(3-2x)2dx  b) ∫263(x-1)(2-3x)dx

Q: Evaluate the definite integral. e4 dx xylnx

A: We can evaluate the integral as below.

Q: e*dx 1+e

A: Given integral,

Q: Evaluate the following integrals by substitution. Show your complete solution. Express your answer…

A: We have to find integral solution

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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

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Q: 4. dx (x² +1)*

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Q: Find the following indefinite integral. +2e -0.1x dx

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

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Q: ∫-10 − x2 (4x3 +5)3 dx Determine the value of the definite integral given above. Enter your answer…

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Q: (In x) dx x+1 c) d)

A: Definite integration

Q: For the indefinite integral V14+ x*dx, a good choice for a u-substitution is u = du = After making…

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Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: dx I = е. a² +x²

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Q: Evaluate the indefinite integral 5e" dæ S 5e² dx +C

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Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: ∫-10  x2 (4x3 +5)3  dx Determine the value of the definite integral given above. Enter your answer…

A: Given,

Q: Evaluate the following definite and indefinite integrals. V6 (a) da V3+1 (b) / da V3 – r2 (c) x* +x…

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Q: What is the value of the definite integral | (-4x° – 3x + 3x – 1) dx? Enter your answer as an exact…

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Q: -2t +8 What is the value of the definite integral dt? Enter your answer as an exact fraction if…

A: The given integral is ∫19-2t+8tdt. Evaluate as follows.

Q: Find the indefinite integral. (Hint: x² – x-4 ) g6 – 1 dx + C

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Q: 4. For each of the following improper integrals, find the value of the integral or explain briefly…

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Q: | Va? – 4 x² – 4 dx x2

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Q: Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the…

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Q: dx. х2 + 4 3.

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: 3. Evaluate the following integrals. For each integral, briefly explain what method you are using…

A: Please see the answer below.

Q: Consider the indefinite integral /a Væ* – 4 dæ: . - This can be transformed into a basic integral by…

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Q: Find the following indefinite integral - 3r – 5x + 18 dx x² – 6

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Q: 1 dx = 4 + x

A: To findI=∫19+x24dx

Q: Evaluate the indefinite integral. Type pi if you need n in the answer. x7/2 4x5/2 - 1) dx = +

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Q: What is the value of the definite integral | (3t2 – t- 6) dt? Enter your answer as an exact fraction…

A: Given,           ∫-133t2-t-6dt

Q: Find the indefinite integrals, if possible, using the formulas and techniques.

A: (a) To integrate: ∫ex2dx We know that, ex=1+x+x22!+x33!+⋯⋯=1+x+x22+x36+⋯⋯ Now, ex2=1+x2+x42+x66+………

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx 2. x²/4-x?

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Q: Evaluate the definite integral. e4 – x dx 14

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx dx 2. xV4-x?

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Q: Evaluate each of the following indefinite integrals using substitution, expressing your final answer…

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

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Q: 2. Find the following definite and indefinite integrals. Use Substitution when needed a) f…

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Q: Given |(-2x° + 3x – 3x° – 6)dx, evaluate the indefinite integral. Do not include +C in your answer.…

A: Integral x^n is x^(n+1)/(n+1)

Q: Evaluate the integral. dx (x – 10)(x – 15) Use symbolic notation and fractions where needed. Use C…

A: Here we have to evaluate I=∫dxx-10x-15