Find the given indefinite integral. State whether integration by substitution or integration by parts was X 9x e dx

Q: Evaluate the definite integral (1+lnx)? dx a.

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Q: 1 dx х6—х

A: To evaluate the integral: ∫1x6-xdx Solution: ∫1x6-xdx On simplifying further we get:…

Q: 10 – 3x°dx_ Land de In (cose)

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Q: Evaluate the integral. 1. (x10 + 10*)dx

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Q: Evaluate the following integrals using either integration by substitution or integration by parts:…

A: Given ∫33x+1dx

Q: View Image for problem

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Q: Find the indefinite integral.

A: Given Data The equation is ꭍ√ (1+√x)dx.   Let,

Q: Use the basic integration rules to find or evaluate the integral. e In(2x) 1+ ln 4 [eind X X dx

A: The given integral ∫1eln2xxdx

Q: Evaluate the given integral. Use exact values. – 2x – 14 dx (x + 3)(x – 5) +C

A: topic - indefinite integral

Q: Use a substitution to change the integral into one found in the table of integrals, then evaluate:…

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Q: Evaluate the indefinite integral. dx + C

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Q: 24 dx

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Q: :Find the integral for the following functions: - Se3x .sinh(x) dx

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Q: Write the integral as a sum of integrals without absolute values and evaluate: Leis | cos x | dx =…

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Q: So 2"dx.

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Q: x3 2. S dx x6+15x++75x²+125

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Q: 8) S xe5x dx

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

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Q: 4 S(x*+: (х+5)dx

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Q: 3. (2x+6)*dx

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Q: Evaluate the given integral. Use exact values. ∫ 6x2−23x+19/(x−1)(x−2)2 dx

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Q: et dx 2x

A: To evaluate the given interval, ∫exe2x+5dx We use the method of substitution to evaluate the…

Q: Integrate the following integrals using either integration by parts or integration by substitution.…

A: The given integral is ∫xsin1+x32dx. Take u=x.  Then, du=12xdx⇒du=12udx⇒dx=2udu Note that,…

Q: cos(x* + 2) dx

A: To Evaluate: ∫x3cosx4+2dx Concept: ∫cosxdx=sinx+C

Q: Use a table of integrals to evaluate the definite integral.

A: Let the given integral be y - y = ∫012x3ex2dxy = ∫01x2ex22xdxLet,t = x2Differentiating on both sides…

Q: Find the indefinite integral. (Use c for the constant of integration.) 4t³i + 12tj – 9VEK) dt

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A: Given: The integral,∫dx5x2-10x+20.

Q: 6. X1-x dx x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Use a table of integrals to find the indefinite integral ∫ 1/ t[1 + (ln t)2] dt

A: Rewrite the given integral as shown below: ∫1t1+lnt2dt=∫1t1+ln2tdt

Q: Solve for the integral of the following using substitution and integration by parts. ∫2x3sin(x2)dx

A: This question is related to indefinite integration, We will solve it using given information.

Q: 1 dx 1+Vx

A: Explanation of the answer is as follows

Q: x19 In(x)dx 1

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Q: Evaluate the following integrals using Integration of Exponential Functions. 12. dx 13. [ 2** dx

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Q: - y = [sec(x)]3z

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Q: Find the following indefinite integrals Vu + u3 du

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Q: Use a table of integrals to evaluate the definite integral.

A: We have to evaluate the definite integral using table of integrals: ∫03x2+16 dx Rewriting the…

Q: -c) S dx d) Sdx 4+x2 4+x2

A: To evaluate (c)∫dx4+x2(d)∫x4+x2dx

Q: Evaluate the given integrals. Sx-2 (cot) (log,sin-) dx 7.

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Q: Determine the following indefinite integral.

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Q: Calculate the value of the definite integral. 5 4 dx

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Q: Evaluate the given integral with suitable substitution: (42x + 42) dz

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Q: Find the indefnite integral. 100 + e4x dx

A: Explanation is given below..

Q: Solve the following integrals: i. S(e**sin(2x))dx using integration by parts or tabular meth

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Use a change of variables or the table to evaluate the following definite integral. 2/8 dx 1/8…

A: Consider the given integral.

Q: Find the general Indefinite Integral. (Use C for the constant of integration.) (u+7)(4u+9) du

A: Solve the following integral

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t3i + 14tj – 6/tk) dt

A: we have to find the indefinite integral

Q: Use a change of variables or the table to evaluate the following indefinite integral. 4x e dx e 4x…

A: Here we have to find the required indefinite integral using change of variable method.

Q: Evaluate the integrals ∫4e-θ sinh θ dθ

A: Given: The integral, ∫4e-θsinh θ dθ.