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

Q: Find the indefinite integral by using the substitution x = tan 0 (1+ x2)2dx

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Q: Evaluate the integral in terms of the constants.

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

A: Given integral is By using the following substitution , we get

Q: Find the indefinite integral and check the result by differentiation

A: Given: Let I=∫5x 1-x23 dx To Find: To evaluate the given integration and to check the result by…

Q: find the indefinite integral and check theresult by differentiation (4x − csc^2 x) dx

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

Q: a) √ (³x²-²) dx S (3x2

A: In this question we have to find integration and after that We have to verify.

Q: Find the indefinite integral and check the result by differentiation.

A: To find the integral I=∫6x24x3-93dx

Q: Find the indefinite integral and check the result by differentiation                  ∫3√(3 −…

A: C=integrating constant

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

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Q: Find the indefinite integral. ∫sec3x dx

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Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: The given integral is

Q: Find the indefinite integral and check the result by differentiation

A: Given, I=∫x2-932xdx

Q: Find the indefinite integral. ∫√(25x2 + 4)/ x4 dx

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Q: In x dx

A: Given,            ∫ln (x)x dx

Q: What is the indefinite integral of (7x5-5x4-pi3+ex-3)dx

A: We need to evaluate the following integral

Q: Find the indefinite integral by making a change of variables. ∫x2√(1 − x) dx

A: To determine ∫x21-x dx

Q: Find the indefinite integral by making a change of variables.                             ∫ cos3 2x…

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Q: Find the indefinite integral and check the result by differentiation.

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Q: Find the indefinite integral by using the substitution x = 9 tan(0).

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Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: Then integrate with substitution

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: Find the indefinite integral and check the result by differentiation                    ∫ x2(2x3 −…

A: Consider the following integral: ∫x22x3-14dx Substitute 2x3-1=u→6x2dx=du→x2dx=16du in the above…

Q: Find the indefinite integral by the method shown in Example 5. XVx + 3 dx

A: Given,          ∫xx+3dx

Q: Find the indefinite integral using the substitution x = 2 tan θ.

A:

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: Find the indefinite integral and check the result by differentiation.

A: Given, I=∫x34+1dx Or  I=∫x34+1dx

Q: Find the indefinite integral ∫ 1/x√(9x2 − 49)   dx

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

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

A: We have to integrate by making change of variable for the function: ∫11+2xdx In change of variable…

Q: Calculate the indefinite integral: 2x* + 3ī + da

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Q: Find the indefinite integral and check the result by differentiation.

A: ∫7x1-x23dxTake the constant out:  ∫a·fxdx=a·∫fxdx=7·∫x1-x23dxSubs u = 1-x2=7·∫ -12u3duTake the…

Q: L²x√x-2dx

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Q: Find the indefinite integral by using the substitution x = tan 0 .

A: x = tan(theta) then  theta = tan-1 x

Q: Evaluate the indefinite integral 7X+17 (x+2) (x+3) dX

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Q: Find the Indefinite Integral and check the result by differentlating. So 19x (19)dx *(19)dx=| 19x

A: ∫e19x(19) dx

Q: |10dx 1

A: The integral function is ∫11110dx.

Q: Find the indefinite integral using the substitution x = 5 sec θ. ∫( 1/ √(x2 − 25))dx

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Q: Take the indefinite integral of (1-x)/(1-sqrtx)dx

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Q: |(4x2 + 3)?dx

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Q: Find the indefinite integral and check the result by differentiation                     ∫x3(x4 +…

A: ∫x3x4+32 dx Put, x4+3=t⇒4x3+0=dtdx⇒4x3 dx=dt⇒x3 dx=dt4 Therefore, ∫x3x4+32 dx=∫t2 dt4=14∫t2…

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

A: Consider the given integral as ∫x3x3-1dx

Q: Find the indefinite integral and check the result by 3/2 + 4x + 6) dx

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Q: Find the indefinite integral by making a change of variables. 1 √ 4 + ²√2x² dx

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Q: a+bx² √3ax+bx³ dx

A: This question is related to indefinite integration, we will solve it using given information.

Q: Find the indefinite integral and check the result by differentiation.            ∫(9x8 − 2x − 6) dx

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Q: [ sec5x tan 5xdx

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Q: Find the indefinite integral by using the appropriate formula . ∫ x5 ln x dx

A: Given: ∫x5 ln x dx We evaluate by integration by parts: ∫u v dx = u∫v dx −∫u' (∫v dx) dx u is the…

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

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Q: Find the indefinite integral by making a change of variables. ∫x√(x + 6) dx

A: The given integral is ∫xx+6dx

Q: Find the indefinite integral and check the result by differentiation                    ∫x(5x2 + 4)3…

A: The given integral ∫x5x2+43dx can be evaluated as, ∫x5x2+43dx=∫x5x23+35x22×4+35x216+43dx…