+. dx (assume x > 0) 5) S dx 3x+12

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

A:

Q: Evaluate each integral bY first making an a substitution. appropriate Sx(x²-1)" dx ल मैंढ a)

A: .

Q: Find the indefinite integral.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 4. Sx 2* dx

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Q: Find the indefinite integral.

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Q: Find the following indefinite integral. Use C for the constant of integration. VI + 3 V) dx Answer

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Q: use the Change of Variables Formula to evaluate the definite integral.

A:

Q: e dx e2x+1

A: To evaluate:∫exe2x+1dx

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

A: topic - indefinite integral

Q: 1 x?g* dx. -1

A:

Q: state what method applies and how one applies it, but do not evaluate the integral:

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 9. 8x? + 4 + xp x2 +…

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Q: 6) St³ (t* + 3)7dt

A: Simply use the substitute and find antiderivative.

Q: Evaluate the following indefinite integral. Use C for any constant of integration. 56 dx x2 – 49

A:

Q: Use the definition of the definite integral to evaluate: + 6х +1)dx

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Q: x3 2. S dx x6+15x++75x²+125

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Q: 8) S xe5x dx

A:

Q: 3 Si S(3x² + 9y²) dxdy

A: To Find:

Q: +oo So xe-dx = 1

A: Evaluate: ∫0∞xe-xdx Apply infinte integral property: ∫a∞fx dx=limx→∞∫axfx dx ∫a∞xe-xdx…

Q: x²e²³, dx

A: The given integral

Q: Which of the following represents the symbol for the indefinite integral? S dx dy b a Σ

A:

Q: 1 -dx х6—х

A: We have to evaluate the integral by substitution method: ∫1x6-xdx Rewriting the integral,…

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

A: I=∫e-2θsin6θ dθ Integrating by parts, we get I=∫e-2θsin6θ dθ=e-2θ∫sin6θ dθ-∫de-2θdθ×∫sin6θ…

Q: Q: Find the integral for the following functions: - 4) S cosh2 (x). sinh?(x). dx

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use appropriate substitution and reduce the integration in easy form then solve it.

Q: 2. dx

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Q: Find the integral for the following functions: - ſ e3x . sinh(x) dx

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Q: Evaluate the integral I sin(x)e-" dx.

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Q: cos(x* + 2) dx

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

Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

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Q: Use reduction formula to evaluate the given integral xe" dx

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Q: Use the substitution a = 4 sec t to evaluate the integral IVI2-16 Note: Use C for an arbitrary…

A: The given integral is: ∫dxxx2-16 Substitute x=4sec t in it.  So, dx=4sec t tan t dt

Q: Find the indefinite integral. (Use C for the constant of integration.) xp x(In x8)9 1 + C g10in (x…

A: Please see below.

Q: 2e* -dx 8+ et •3 dx o x-2 TeCos(T2) 1 - dx 14 csc(Tx)

A:

Q: Evaluate the integral or show that it diverges e dx 1+e-x

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Q: 7) Se3 V1+ e3xdx

A:

Q: Incardx (x)dx 4.

A: yes

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

A: To evaluate (c)∫dx4+x2(d)∫x4+x2dx

Q: Find each integral by integration by parts or a substitution, as appropriate. (Use C for the…

A: For part (a): Substitute u = x2 then the given function become:

Q: Evaluate the following indefinite integral. $10 dx f10 dx=

A: We can solve this as follows:

Q: Find the indefinite integral

A:

Q: Find the indefnite integral. 100 + e4x dx

A: Explanation is given below..

Q: Evaluate the following integrals using Integration by Substitution. 9. S tanx dx

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: dx. ot Find the indefinite integral x4 = xp

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Q: Evaluate the integral. ∫1/x2+25 dx

A: Consider the given integral:

Q: Find the answer to the following indefinite integral:

A: Given indefinite integral ∫1cos(x)dx    ⇒∫1cos(x)dxSimplify using trigonometric…

Q: Evaluate the following integrals.

A: We have to evaluate the integrals: ∫0π4sec x-cos x2 dx Applying the identity a-b2=a2-2ab+b2 in the…

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

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Q: Evaluate the integral 1∫−1∣∣x−12∣∣dx.

A: