Solve: The integral of (sec(x))^3 dx.

Q: Find integral sqrt (2x − 1)  dx.

A: The the integration is a process of finding antiderivative of a function . There are basically two…

Q: Use the Special Integration Formulas to find the indefinite integral. ∫ (√9 + 4x2)

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Q: Evaluate the integral in terms of the constants.

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Q: 70ot(*) e*dx e2x +1

A:

Q: Find the indefinite integral .

A: To find the indefinite integral  I=∫sin-12x1-4x2dx  Let u  = sin-1 2x dudx = 11-2x2du = 11-4x2 dx

Q: Use integration by parts to find the indefinite integral.

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

Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: 3 sinx dx

A:

Q: Find the indefinite integral by using the appropriate   formula. ∫x3e2x dx

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Q: What is the integral of cosh4x*sinh5x?

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Q: eV3x+9 dx

A:

Q: Solve the integral by using integration techniques

A: We have to solve

Q: log4(x²) dx

A: use the log rule  so here we can write  ................(1)

Q: sec2(Arctan x) dx 1+ x²

A: We have to use integration by substitution technique. we can use substitution for Arctan x.

Q: Before integrating, how would you rewrite the integrand of S(x* + 2)² dx?

A: To solve: ∫(x4+2)2dx

Q: In x dx.

A:

Q: calculate the integral.

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Q: Evaluate the indefinite integral: ∫(θ + sec2 θ) dθ

A: Our Aim is to evaluate the indefinite integral given below:-∫θ+sec2 θ dθ  -(i)

Q: 2 dx

A: Solution

Q: Find the indefinite integral ∫sec6 4x tan 4x dx

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Q: Find the indefinite integral. ∫sec4x dx

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Q: Find the indefinite integral by making a change of variables.

A: In some cases an integral can be transformed to a standard integral by an appropriate substitution.…

Q: Evaluate the indefinite integral: ∫sec2(−3θ) dθ

A: To evaluate the indefinite integral: ∫sec2-3θ dθ Solution: Let substitute t=-3θ. Differentiating on…

Q: Evalucate the definite Intcgral S. (l0x+4) dx 3

A: detailed solution is given below

Q: Find the indefinite integral by making a change of variables.                                   ∫…

A: Solution - Let the given integral be y - y = ∫sec5(7x) tan(7x) dxWe can write it as - y =∫…

Q: Use integration by parts to solve the indefinite integral of [sin5xcos3x]dx

A:

Q: Use reduction formulas to evaluate the integrals ∫ 2 sec3 πx dx

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the indefinite integral ∫tan5 x sec4 x dx

A: Given:∫tan5(x) sec4(x)dx

Q: (log a) dx 1+x²

A:

Q: 3 dx V16-x²

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Q: Evaluate the indefinite integral.   ∫ Sec22θ dθ

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Q: Find the integral: x45-x5 dx

A: The objective is to find the integration.

Q: 3.) КОЈ о dxdy

A: SOLUTION-

Q: Solve followina integral ed Sin 9x dx

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Q: find integral  sqrt ( x2 - 9 )dx

A: Given: I=∫x2-9dx we know that ∫x2-a2dx=x2x2-a2-a22lnx+x2-a2+c                                ..1

Q: Please help solve the integral: (sqrt(x^2 - 81)^3 / x^4)dx

A: ∫x2-813x4dx∫x2-812x2-81x4dx∫x2-81x2-81x4dx∫x2-81x2-81x2-81x4dx Now we integrate separately…

Q: sin(2x

A: Given that: ∫sin(2x)dx

Q: Find the indefinite integral by making the substitution = 8sec 0- x²-64 dx

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Q: 36x2 + 25 dx x2

A:

Q: Evaluate the indefinite integral.

A: It is required to evaluate the indefinite integral:

Q: sec dx Eanx

A: Given

Q: Solve the integral: dx

A:

Q: Use integration by parts to find the indefinite integral ∫e2x sin 3x dx

A: Let  I=∫e2x sin 3x dxBy using the  Integrating by parts…

Q: [ sec5x tan 5xdx

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Q: dx

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Q: find integral   x sqrt (1 +x 2 ) dx

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Q: Find the indefinite integral of Jsec²x tanx√1 + tanx dx. 22/2

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Q: Without integrating, explain why

A: when the integration is in the form  ∫-aaf(-x)=∫-aa-f(x) is odd then it is equal to 0

Q: Find integral 2  to 5    1/ sqrt  (x -2 ) dx

A:

Q: Use reduction formulas to evaluate the integrals ∫ sin5 2x dx

A: Given: The given integral is I=∫sin52xdx. State the reduction formula. ∫sinnxdx=-cosx…