Give the antiderivatives of 1/x.

Q: Find the family of antiderivatives for each ofƒ(x) = ex, g(x) = 4x3, and h(x) = sec2 x.

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Q: 2. tan 0 sec 0 do

A: Use integration by parts

Q: what is the antiderivative Of ? 1(x²+1)

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Q: Determine the Equation from the information below: X-Int: (5, 0) 3 HA: y = 4 VA: x =- 1 Y-Int: (0,…

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Q: Evaluate the integral. (9 – y4 (x2 + yA) dx V9 - yA

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Q: Find the most general antiderivative. 28) 2t2 dt + 3

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Q: Find the most general antiderivative. 4 56) √2+1 5 x² +1 X dx

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Evaluate the integral. 1. (x10 + 10*)dx

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Q: Find the following indefinite integral. SxVx2 +5 dx

A: The given integral is ∫xx2+5dx

Q: Give the antiderivatives of e-x.

A: ∫e-x dx

Q: Find the most general antiderivative or indefinite integral. 6 5 dt

A: The given integral,          ∫tt56+t3t2dt

Q: S. 9+eoscsiっ.、 (メ)) >マ

A: y = ∫dv4+ecossin-1xTo find appropriate 'dv' so that, anti-derivative is possible.

Q: 1. fx³ In x dx

A: Evaluate the integral equation by integration by parts .

Q: 1 4x2 dx X.

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Q: Find the antiderivative

A: Consider the given integral

Q: Evaluate the following antiderivatives. 2dx x ln x S

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Q: valuate the integral of x(x – 5)^12 dx from 5 to 6.

A: We have to find out

Q: -2* dx

A: To integrate using tabular form.

Q: 1 Find an antiderivative of 9 x¹ +4 x6 ار داشته in the variable x where x > 0.

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Q: Find the antiderivative of dx / (25 + 4 x^2) * O (1/2) arctan (x/5) + C O (1/10) arctan (2x/5) + C O…

A: An antiderivative is an integral process that can help a function to get back into its parent…

Q: edx e dx (e*+1)*

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Q: Find the most general antiderivative (a) Integral [ (cos(ln x)) / x ] dx (b) Integral [ (x2)(ex^3)…

A: Given (a) ∫coslnxxdx  (b) ∫x2ex3dx  We have to find the most general antiderivative.

Q: Show that the antiderivatives are equivalent.                                                     ∫…

A: To show that ∫3x21-x6dx = arc sin x3+C Substitute  u = x3. Then                  dudx=3x2du  =3x2dx…

Q: Find an antiderivative of (3x3+9x5)/x6 in the variable x where x does not equal 0.

A: From the given problem:   3x3+9x5x6   So,    3x3+9x5x6=∫3x3+9x5x6dx   We can simply write as:…

Q: Evaluate the integral. ▪4 x – 3 dx /1

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Q: Find the most general antiderivative. 1. dx 10 3 .3

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

Q: sin x dx COS x

A: Indefinite Integration Substitution

Q: 1. Perform the antidifferentiation. (a) S Vã (7 –) dx (7 pts)

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Q: Find the most general antiderivative of f(x)=−7x^2+8x−2. Note: Any arbitrary constants used must be…

A: An anti derivative of a function f is a differentiable function, whose derivative should be equal to…

Q: Find the antiderivative: x sinx'dx

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Q: Evaluate the following using an appropriate technique of integration. (b) (5 – x2)³ dx

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Q: valuate the integral ∫x2/x3+1dx using an appropriate substitution.

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Q: Evaluate the integral.

A: We have to evaluate the indefinite integral: ∫dxex1-e-2x Rearranging the integral,…

Q: e doe

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Q: Evaluate the integral. 1 √x(1+x)” 1 x(1+) dx = dx

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Q: Find the most general antiderivative. dx

A: Given,           ∫1x5-x5-13dxTo find : The antiderivative of the given function.

Q: Find the integral ∫ x+2 / x−1 / dx.

A: On simplification, we get

Q: Determine the following antiderivatives. 4. S 2(x* + 1)1ºx²dx

A: we have to determine the following antiderivative: ∫2x4+110x7dx

Q: |2²+2x + 1 dx

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Q: Evaluate the integral. x* dx x* – 1

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Q: Evaluate the integral. x+ 10 dx x+2

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Q: Evaluate the integral.

A: Evaluate: ∫1e x2+x+1x dx

Q: ormulas to compute the following antiderivative. x-1 x² -dx.

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Q: Determine general antiderivatives for each of the following functions (use capital C as the…

A: a. Given. f(x)=x3x4-5

Q: Find the most general antiderivative. 4 dx

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Q: Incot3x dx sinh e* 1+9x

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Q: | x(x + 10)" dx

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Q: Find the Deriv ative S(x) = 4x In (1x+ t6x)

A: Use product rule to differentiate it.

Q: Show that the antiderivatives are equivalent.…

A: ∫6/(4 + 9x2)  dx = arctan 3x2 + C or arccsc √(4 + 9x2 ) / 3x + C We need to show that the…