Evaluate the indefinite integral. | a'V æ? – 64dx

Q: Find the indefinite integral. ∫(csc2t / cot t) dt

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Q: Find the indefinite integral ∫(t2i + 5tj + 8t3k) dt

A: Given ,∫t2i+5t j+8t3Kdt

Q: Evaluate the definite integral ax -dx, where a=9, b=1 and c=7. Write your b+cx2 answer up to two…

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Q: 53. Use the substitution u = x + 1 to evaluate the integral I dr.

A: Differentiate u with respect to x,  du= 4x3 dx du/4x3= dx

Q: f ³In xdx .3

A: Given,        ∫x3lnx dx=

Q: Find the indefinite integral.

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx хах 3-x

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Q: Evaluate the indefinite integral. asin (a)cos(2)dz: + C %3D

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Q: COSx 15. J dx V1+sinx

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Q: Determine the following indefinite integral.

A: Given integral:

Q: V64 – x? da

A: Given: ∫64-x2xdx

Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫e3x + 1 dx

A:

Q: Evaluate the definite or indefinite integral, if they exist. If they do not exist say DNE: S (4x +…

A: To evaluate the given integral

Q: Evaluate the following integrals. Jo cos?

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Q: evaluate the indefinite integral.

A: Given integral:

Q: Inx dx a) S x+4x Inx?

A: We need to evaluate ∫lnxx+4x lnx2dx Now, using the property lnab=blna, we get: ∫lnxx+4x…

Q: Evaluate the following indefinite integral. Do not include +C in your answer. -4x5 + xª + x² – 1)dx

A:

Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫(x + 1)12…

A: Given: ∫12x+1dx for evaluating this integral we substitute u=x+1 now differentiate both side with…

Q: Determine the following indefinite integral.

A:

Q: Evaluate the given indefinite integral. Indicate u, n, and du. Scos" }y sin ydy

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Q: Evaluate the integral from 0 to pi: ∫cos4(2t)dt

A: ∫0πcos42t dt

Q: 21. Write the definite integral that repre formed by y = x² + 2x + 1 and y=2x+5. Do:

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Q: Evaluate the following indefinite integral. Do not include +C in your answer. –3x* + 6x³ – 5x²)dx

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Q: Evaluate the indefinite integral: ∫t−6/11 dt

A: The integral of xn is given by: ∫xndx=xn+1n+1+C   Using the above rule:…

Q: Rewrite x sin (T – x) dx as the equivalent definite integral in terms of u, - but do not evaluate.…

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Q: Evaluate the indefinite integral f cos2 (8 · x) dæ

A: The given integral is ∫cos28xdx to evaluate the integral.

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

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Q: cos (78) dx, u=7

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Q: Evaluate the following indefinite integral. Do not include +C in your answer. |(-2,8 – 2æ" + 2x –…

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Q: Evaluate the indefinite integral.

A: To integrate

Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx 3-x

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Q: Evaluate the definite integral. da r(1+ In z)

A: We will use fact that  ln(a)b=b.ln(a). And ln(1)=0.

Q: Evaluate the given indefinite integral. Indicate u, n, and du. Scos* y sin ydy

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Q: 3x2 dr In evaluating by substitution, if u =x+1 then what will be the resulting indefinite integral…

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Q: 2 - x dx x² + 5x

A: Given the indefinite integrals

Q: Evaluate the following indefinite integral by using the given substitution to reduce the integral to…

A:

Q: Evaluate the given indefinite integral. Indicate u, n, and du. [5lan2P etan 28 sec² 2 Bd ß

A: Let I=∫5tan2βetan2βsec22β dβ

Q: Evaluate the following integral using the Fundamental Theorem. x-1 dx

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx V3-x

A: Given, The indefinite integral ∫xdx3-x We have to evaluate the integral.

Q: csc* 0 cot* 0 de -4

A:

Q: Use u-substitution to evaluate the following indefinite integrals. Giv your final answer in terms of…

A: see 2nd step

Q: t3 et" dt

A: Given, ∫t3e-t4dt We have to evaluate the indefinite integral.

Q: Evaluate the indefinite integral. fo(z - 7°dz + C

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Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: Evaluate the following indefinite integral by using the given substitution to reduce the integral to…

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Q: Evaluate the following indefinite integral. Do not include +C in your answer. (-3x* + 6x – 5x² )dx

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Q: Evaluate the integral from 0 to pi/4: ∫tan4t dt

A: here we use trigonometric identity  tan2x=sec2x-1 and, integration from 0 to π4

Q: Evaluate the given definite integral using appropriate substitution: V2rdr = ... A ... B ...

A: We have to solve the Integral

Q: Determine the following indefinite integral.

A: Indefinite integral is basically an integral without upper and lower bounds, i.e. its boundaries are…