x sec2x dx (integration by Parts)

Q: dx 4 + x2 Use integration by parts

A: We have to use integration by parts .

Q: Evaluate.cuse C for the Constant of integration). 40 t6x-X dx

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Q: Find dy/dx by implicit differentiation. 8x3 + x?y – xy3 = -8x2 y' = 2/3

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Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: 1). § x²e5* dx (Integration by Parts)

A: ∫x2e5xdxIntegrate by parts ∫fg'=fg-∫f'gf=x2,g'=e5xf'=2x,g=e5x5=x2e5x5-∫2xe5x5dxIntegrate by parts to…

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

Q: tan20 sec2ede In 2 edx 3. 1. (a² + a²tan²0)² 2ex- 1 x'dx dx x- 1 2. 4. (1+ x2)3

A: As per our policy, only the first three subdivisions will be solved. For the remaining subdivision,…

Q: S sec x dx Use Integration by parts to solve

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Q: 2 1 æ sec-(x) dx 2/V3

A: By see this solution below

Q: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

Q: Find - by implicit differentiation. dx = y² + 2 x + y dy dx

A: differentiate wrt x

Q: 2x dx ex+3

A: ∫e2x dxex+3

Q: ■ Find dy /dx  by implicit differentiation x3 + y 3 = 1

A: The given equation is x3+y3=1 Use implicit differentiation( chain rule) to find dy/dx .…

Q: dy by implicit differentiation: 2x 3x? y + y = 15 Find - dx

A: Take the derivative by concept of power derivative and chain rule of derivative.

Q: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: Find dy/dx by implicit differentiation. x4 (x + y) = y2 (3x- y)

A: We have to find the dydx by implicit differentiation: x4x+y=y23x-y Rewriting given equation,…

Q: Li S cos(x)esin(x)-2y dxdy

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Q: e dx 1- e2x (integration by substiution)

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Sz x² sin 2x dx (Integration by Parts)

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Q: xe dx

A: In the given question we have to solve the integral s.t ∫xexdx. we will solve the indefinite…

Q: J (secs x) dx/csc x

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Q: Ssin x CosX dx 6x dx

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Q: Integrate sec√x dx ÷ √x

A: We have to Integrate : ∫secxxdx Let x=t⇒12xdx=dt⇒dx=2xdt=2t dt Now, ∫secxxdx=∫sec tt(2t dt)=∫2 sec t…

Q: x +1 -dx x² (x – 1) (a) Integrate

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Q: 1. S ( cos(2x-1) dx (Integration by Parts) et

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Q: dx 15. S (x²+36) ³/2

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Q: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

Q: 8. dx +x2 Integrate:

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Q: Use integration by parts for both.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: valuate the definite integral: 1 (sec-1 x)² dx xVx² – 1 -

A: We  have to solve the improper integral

Q: (b) Evaluate f 3æ“ In6x dx using integration by parts.

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Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: dx 62 + x² Integrate:

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Q: Integrate f dx using integration by parts. x+1

A: Please refer the attached image for complete solution.

Q: Integrate: [ 3x² +2x +1dx а. 1 b. Ni С. Te* – sec? x dx

A: As per guidelines, I can answer only three sub parts.

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: t of integration.) dx 5 + v2x

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Q: Find S x cos x dx by using integration by parts.

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Q: find dy/dx by implicit differentiation x^4+x^2y^2+y^3=5

A: Given: x4+x2y2+y3=5 We have to find the derivative of the given equation. The product rule of…

Q: - 1) (2r + 1)½ (4x – 1) dx Perform the Integrations

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Q: Integrate J dx X(x-3)

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Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

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Q: 9. S sec 2x dx 10. S cos x esin x dx 11. dx x+1

A: Evaluation of the above integration is

Q: Integrate x?dx

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Q: cos x dx Sx x sinx cosx dx 4. 3.

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Q: x e* dx

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Q: (B): Find the integration by using substitution method √x√2x-1 dx

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Q: | (In x)2 dx Use integration by parts.

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Q: 1 = 1 xy (2x + v)3 = x

A: