Evaluate the integrals ° log: (x + 2) x + 2 2 log10 (x + 1) ri0 log 10 (10x) 65. 66. /10 ' 2 log2 (x – 1) x- 1 67. dx 68. I+ 1 de dx 69. 70. x log 10 x x(logs x)²

Q: (x²-5) -dx J x3+15+12 c3.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 7 cosh(/x) xp

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Q: (x2. x3+15+12 (x²+5)dx

A: Solve by substitution method of integration

Q: Evaluate the integrals in Exercise  in terms ofa. inverse hyperbolic functions.b. natural…

A: To evaluate,

Q: Find the indefinite integral. (Use C for the constant of integration.) tan5 dx sec x

A: We have to find the integral of the given expression   The expression is   ∫tan5xsec8(x)dx

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: The objective is to evaluate∫tan2xsec5xdx. The formula for integration is ∫xndx=xn+1n+1+c

Q: Find the indefinite integral. (Use C for the constant of integration.)

A: Given integral is I = ∫7 (t5 - t3 + 1) dt First we have to integrate the given integral equation.…

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 cosh(x) xp

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Q: Find the indefinite integral. (Use C for the constant of integration.) 100 – 4x2 dx -

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Q: Find the indefinite integral. (Use C for the constant of integration.) dx xV 16x2 - 1 arcsec (x) + C

A: The objective is to find the value of given integral

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh() dx

A: Given that: ∫6cosh(x)xdx

Q: evaluate the indefinite integral.

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Q: Sea(4 + e3*)-1 dx

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

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

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Q: Find the indefinite integral

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xV7 - x2 dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan' x dx sec10 x

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx) xp

A: The given integral is∫6coshxxdxwe will solve the above integral using substitution method.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 sin dx

A: Let I=∫sin1x6x7dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 1 xp

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Q: Use the Log Rule to find the indefinite integral. (Use C for the constant of integration.) dx

A: Let z=x2+2dz=2xdxxdx=dz2

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (4). 1 sin dx

A: Indefinite integral

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

A: Given that: ∫tan5xsec8xdx

Q: Find the indefinite integral. (Use C for the constant of integration.) | In(er - S) de

A: First simplify the expression inside the integral then integrate.

Q: Calculate the indefinite integral:  ∫ x9/4 dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 dx

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Q: Evaluate the integral. dx + 4x + 20 5 log (2) – 2 log(5) – 4 + tan"

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Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of integration.)

A: Integration is the process of finding the anti-derivative function of a given function. Integrating…

Q: Find the indefinite integral. (Use C for the constant of integration.) 41 2 dx TX TX tan sec

A: GIVEN : Integration

Q: Find the general indefinite integral. (Use C for the constant of integration.) - 3u4 ته( ل u? +)

A: This question can be solved by using some basic formulas of integration like ∫xndx

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx xV 16x2 – 1

A: Solve the  intregal

Q: E^tan(9x) sec^2(9x) dx

A: Consider ∫ etan 9xsec2 9x dx. Put t=tan 9x. Now dtdx=9sec2 9x⇒sec2 9x dx=dt9

Q: dt

A: We have to find indefinite integral

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(Vx) xp

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Q: Find the indefinite integral ∫ 1/x√[1 − (ln x)2 ]dx

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Q: Find the indefinite integral. (Use C for the constant of integra -8 + 12 dx ャ

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Q: Evaluate the integrals So 2 log2 (x+2) dx (x+2)

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Q: Use a Table of Integrals to evaluate the integral. 2xdx Va4 +1 log la" + Vz +1|) Check your…

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Q: Evaluate the integral: 1 - coth² (log₂ x) S² x cosh(log₂ x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt 9 + tan(t) CoS

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx)

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Q: sec dx Eanx

A: Given

Q: Evaluate the integral. (Use C for the constant of integration.) (3* – 5*) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.)

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Q: ***** Find the indefinite integral. (Use C for the constant of integration.) 15 XV 25 - (In x)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 2

A: Given an indefinite integral

Q: Find the indefinite integral. (Use Cfor the constant of integration.) 9 dx x/ 81 - (In x)2

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Q: Evaluate the integrals in ∫ln 2 log2 x/x dx

A: ∫ln (2) *log2xxdxChange of base rulelogab=logcblogca Formula∫xndx=xn+1n+1+C

Q: Find the indefinite integral. (Use C for the constant of integration.) Vtan(8x) sec?(8x) dx +C x

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