What are the new limits of integration if apply the substitutior u = 6x + t to the integral sin (6x + T) dx? (Express numbers in exact form. Use symbolic notation and fractions where needed.) lower limit: upper limit:

Q: Evaluate the integral. (Use C for the constant of integration.) / test at

A: We have to use byparts formula

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A: Given the integral ∫-11sin (2x)dx.

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Q: 9. Find the numerical Integration of cos(x) + sin (x) where n = 4 using trapezoidal rule.

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

A: We will use integration by parts to solve this.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | Vx19 sin(4 + x21/2) dx…

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

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Q: Evaluate the definite integral using (a) the given integration limits and (b) the limits obtained by…

A: Evaluating the integral using (a) The given integration limits: We solve it by using u-v method:…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos x dx (sin x)24

A: Given ,  the indefinite iintegral  I= ∫cosxsinx24 dx  Let sinx = z  cosx dx = dz  I =∫dzz24 I =…

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Q: 6. (a) Use integration by parts to evaluate: (i) [x sin(x) dx X (ii) / sec³(x)dx (b) Evaluate the…

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Q: Evaluate the integral. (Use C for the constant of integration.) (arctan(x))5 | x2 + 1 dx

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Q: hat are the new limits of integration after applying the substitution u = 6x + x to the integral /…

A: Given query is to find the limit after applying the substitution.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS X dx (sin x)20

A: Given, ∫cosxsinx20dx We have to evaluate the indefinite integral.

Q: Evaluate the integral. (Use C for the constant of integration.) fu- (x – 3)sin(Tx) dx

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Q: b) Evaluate the indefinite integrals using Tabular Integration by parts. i) S(x² + x + 1)Sinxdx ii)…

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Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: 6. Evaluate the following definite integral with the given limits of integration: – 2x + 2 dx 1

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Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

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Q: 10) evaluate the integral (Usec for theconstant integration e- cos (ro)de

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Q: | de P8- メレー Oe dedx

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 + 3x) cos(x) dx

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Q: 1 1-x Change the order of integration and then evaluate the integral: fx dydx X Jx-1

A: We draw the graph of the limits of the integration then we change the order accordingly

Q: Evaluate the integral -2t sin(-3t) dt Note: Use an upper-case "C" for the constant of integration.

A: Given Integral;

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Q: Find the indefinite integral. (Use C for the constant of integration. tan(x) cos(x) dx

A: Given,            ∫7tan xlncos x dx

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Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. 2 |…

A: Use substitution method

Q: Evaluate the integral x cos(3x) dx Note: Use an upper-case "C" for the constant of integration

A: Given:

Q: Use an appropriate u-substitution to evaluate the indefinite integral 3sin (71)cos(7)dt. Use C'for…

A: Use substitutions to integration

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

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Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

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Q: Evaluate the integral -1 dx x² + 16 Note: Use an upper-case "C" for the constant of integration.

A: LetI=∫-1x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=-∫1x2+16dxI=-∫1x2+42dxPur x=4tany…

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Q: 0.5 cos x In(3 sin x)dx = COS I %3D 0.1

A: Definition used -   U substitution - When there is a composite function multiplied by the…

Q: Evaluate the integral. (Use C for the constant of integration.) | tan (x) sec (x) dx Work must…

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Q: s) to simplify the integration, then find the integration within limits (0-1), discus

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Q: a) Evaluate the indefinite integrals using Tabular Integration by parts. i) S(x² +x + 1)Sinxdx

A: Given: The integral  ∫(x2+x+1) sin(x) dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ecos(25t) sin(25t) dt

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Q: Evaluate the integral. (x² + 4x) cos(x) dx Work must each include tabular method, OR u, v, du, dv…

A: =∫(x2+4)cos(x)dx Integrate by parts: ∫fg′=fg−∫f′g f =x^2+4, g′ =cos(x)   ↓ steps   ↓ steps f′…

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(2x) dx 1 + cos“(x)

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Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(4x)…

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Q: Evaluate the integral | 2 cos(In(x)) dx, x > 0 Note: Use an upper-case "C" for the constant of…

A: Given information: The integral is ∫ 2coslnxdx. Concept used: Integration by parts: ∫udv=uv-∫vdu…

Q: Use integration by parts to evaluate the definite integral: ∫3se^-4s ds with an upper limit of -0.9…

A: A=3∫abse-4sds , solving A where a,b are upper and lower limits as per questionIntegrate by parts…