Evaluate dx -[In(x³/6x +5)].

Q: Evaluate S Vx – x² dx -

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Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: Prove that d/dx[csc-1x]=-1/(x(sqrt(x2-1)))

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Q: Evaluate (In x)³ dx

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Q: III. Evaluate 4 - x -dx. V16 – x2

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Q: Evaluate f -dx is equal to x In 3x

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Q: Evaluate the integral (4x -7/13 – 5x13)dx. „7/13 (4x -7/13 - 5x13)dx help (formulas) -

A: We first distribute the integration

Q: f(x) = x2 cosh 3x -

A: Simply, I have used laplace transform formula.

Q: Evaluate S (2x+3) dx x² (x²+1)

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Q: Suppose that f(x) dx = 2. Calculate (5f(x) + 4) dx-

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Q: d Evaluate 1x sec -'x2 dx

A: to evaluate the value of: dxsec-1xdx when x=23 as we know that product rule of differentiation is:…

Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: 2x* - X* dx 「奈 3. スx* + 1

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Q: Evaluate csch- x dx , 0 < x < 1

A: To find the integration of following csch-1x

Q: 3x -1 dx is equal to

A:

Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: Verify the formulas by differentiation. ∫ (3x + 5)-2 dx = -(3x + 5)-1/3 + C

A: Given ∫(3x+5)-2dx=-(3x+5)-13+C Verify the formula by differentiation Consider Right hand side value…

Q: 19-x² dx 2

A:

Q: 1/2 dx 2 -1/21-x

A: We will solve the problem

Q: Evaluate 2х-1 dx- X - x +1 2.

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Q: 4. Evaluate: - V16. dx 16 x2 -

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Q: dx. 4-x² Evaluate IN

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Q: 4 – 2x dx. x3 + 2x2

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Q: 4- x²+4 dx ht. 23

A: To evaluate∫x3x2+4dx We can find the integral by substitution method.

Q: -1)/(x4))1/2

A:

Q: compute the higher derivative

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Q: Evaluate 2х— 7 -dx J x2 — бх + 10

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Q: sec2 X dx 3

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Q: Evaluate ·S dx 2 ²√x²-9

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Q: 3- f xvx2 +1 dx

A: Integration

Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

Q: 4-x dx 4

A: Given       ∫4-x2x4dx

Q: Evaluate Ssin" (2sv1-x*)ds. dx.

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Q: -3 In (x) dx

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Q: Evaluate e6 6x cos (7x) dx. 6x cos (7x) dx =

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Q: S(2-x)° In (4x)dx

A: Given the integral  I = ∫132-x2 ln (4x)dx = ∫13x-22 ln (4x)dx To evaluate the integral:-

Q: 4. S 9-x- dx

A: Given problem:-

Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.

Q: Compute 1 2te-82 dx. x4

A:

Q: Evaluate dx. Vx+/3-x

A: If f(x) is function and on changing its limit ,  Integral of f(T-x) = integral of  f(x)

Q: 19-x 2 Find -dx 2 x² 5.

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Q: Evaluate : J dx 3

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Q: to use absolut 5n dx (x- 1)(x2 + 4)

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Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx

Q: Evaluate: fxea dx. Show all steps, and explain yourself.

A: Given: The integral ∫xe3xdx, To evaluate: The given indefinite integration.

Q: Show that dx (a) - x² +1 2

A: Since you have asked multiple question, we will solve the first question for you.If you want an…

Q: Evaluate : |xtan-1x dx

A: The given integral is                                      ∫x tan-1x dx

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.