3. , (x - 3x)e-3*dx

Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

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: 5 Find a limit equal to In(2x – 1) dx.

A: We know that, ∫lnxdx=xlnx-x+C…

Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

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Q: dx

A:

Q: 1 (In x+1)x dy dx

A: Given integral is evaluated as follows

Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

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: Q3. Evaluate : IL (2) * dy dx

A:

Q: Question 4 Use Question 2 to compute In(13x) dx. Expressions like e, In(2) should not be x10…

A: Given query is to find value of the integral.

Q: 9. Integrate: Ja (x- 1) cos(x? - 2x) dx

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

Q: 2 dx =

A:

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: (Use Simpson's Rule with n=4 to approximate 5x* dx

A:

Q: Use Simpson's Rule with n = 4 to approximate 5x* dx.

A: The solution is given as

Q: x'dx √√x(1-x)

A:

Q: Find upper and lower bounds for

A:

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: 4 2x dx J2 x²-1 3.

A: Topic = Integration

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: 4 dx X-X-2Ą

A:

Q: Find the definite integral from 1 to 3 of |-3x+1| dx

A: According to the given information it is required to find the value of the definite integral.

Q: integrate (2 + x^2)/x^1/2 dx from 1 to 4

A: to find I=∫142+x2xdx

Q: •2 5. Calculate | x In(3x)dx.

A: Given integral:

Q: Integral of e^(4x)sin(4x) dx

A:

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: find dy/dx of x^5y-xy^5=1

A:

Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

A:

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

A: Please refer the attached image for complete solution.

Q: Find complementary function and particular integral of d²y - y = xe* + cos² x dx2

A:

Q: Find the indefinite integral. ∫sec x/2 dx

A: Given ∫sec x/2 dx. We need to evaluate the above integral.

Q: Su+1 dn th-2

A: I =   ∫135x + 1x2 + x - 2dx    = ∫135x + 1x2 + x - 2dxWriting5x + 1  = A (2x + 1) +BOn solving , A…

Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: 3:Use Gamma & Beta properties to evaluate : f (In x)³ dx

A: The gamma function is Γ(z)=∫0∞e-ttz-1dṭ The Gamma function is a non-integer generalization of the…

Q: Find the value of the definite integral: 4x dx -2

A: ∫-254x3 dx

Q: Evaluate integral x^2e^-x^3 dx

A:

Q: Evaluate L S dx dy. O 1 2/3 1/2 O 2

A:

Q: 1 O Integrate -dx x(1+/In x)

A:

Q: Compute dx in two ways and verify that the answers agree.

A: Assume the given integral be I. I can be integrated via trigonometric substitution by substituting…

Q: Evaluate S 0 2-9.x² dx using the Gamma function.

A:

Q: -2 dx 0 (3+x)² 2

A:

Q: 1 B3. Evaluate dx, using substitution method.

A:

Q: (In x) dx Integrate: 1

A:

Q: 3メーメヤxー9 dx x²-3x+2

A:

Q: | (In x)² dx_use integrationI

A:

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

A:

Q: alue of A can be calculated based on f(x)dx = 1.

A: The given probability distribution function is,