What is ∫3x^4(−x^5+5)^4 dx? Do not include the constant "+C" in your answer. For example, if you found the antiderivative was 2x+C, you would enter 2x.

Q: 5. Evaluate: (а) ( 5х* -х-4) dx (b) f( 2x +4)(3x + 6)dx

A: 5. (a) We will evaluate the integral ∫5x2-x-4dx

Q: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: 9. z In(1 + x²) dx

A: As mentioned to solve only question number 9.Question number 9,Given,          ∫xln1+x2dx

Q: 12. integrate (10x+6x +2x-6)dx

A:

Q: (x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

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Q: VALUATE xx4 dX 3

A: to find:- integration of the given function. *concept:- let,  x^3+4 = t.

Q: (а) (3x +5(5х -6) dx (b) 15х3 -10х? +15 dx 5x?

A:

Q: 10. x3 Vx² –- 1 dx

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Q: I'm a little confused, about how d/dx(ln4x) becomes 1/4x(4)

A:

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Evaluate the definite integral.

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Q: [2 2x³ (x² − 1)² – dx|

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Q: 13. S: 5x dx x5-3

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Q: Evaluate S (2x+3) dx x² (x²+1)

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Q: x² dx /1 + 2x 3

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Q: integrate: [e^(2x)]cbrt(e^x +2)  dx

A:

Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

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Q: 2dx x (3(ln x)2 + 12 In r – 15)

A: Indefinite Integration

Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: evaluate using the appropriate method or combination of methods.

A: Factor the denominator

Q: L(2x – V16 – x²) dx 46.

A:

Q: zc)z (32- 5х) dx —

A: We have to find

Q: 1. dx x-19-x

A: Given :∫dxx49-x2

Q: uate the integral. 9. (x2 + 2x – 5) dx 4.

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

Q: Sx Vx + 10 dx

A:

Q: 3 d. S16 – 3x| dx 1

A: We have to solve given problem:

Q: What is the antiderivative of 9x^2 times (1 + x^3)^1/2 ?

A: The given expression is,

Q: Integrate the function. 2 + 16 dx 2x2

A:

Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

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Q: What is the antiderivative of 2sec^2(x) + 3 ?

A: The antiderivative of the function means that the integration of the given function.The integration…

Q: x-4- dx x²-5x+6

A: Given, ∫x-4x2-5x+6dx   We have to integrate.

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: 6 dx x/49 – 4 ln?(x)

A:

Q: 3. 43. dx 2 - x (1,0)

A: 43) We have to solve the following differential equation at the point (1,0). dydx = 32-x

Q: Integrate: dx x2+7x+6

A:

Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Evaluate the given integral and check it by differentiation. ∫13+7xdx, x≠-37

Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: 9. S." §, x*V9-x dx 16 dx Vx-2 10.

A: We need to evaluate the given definite integrals, to sove we will use the substitution method.

Q: 2 Evaluate || dx +4x+3

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Q: Evaluate and simplify. L dx 1 V1-2x-x²

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Q: 5. y lnx – x In y = In e 2x

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Q: Compute 1 2te-82 dx. x4

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Q: Find the antiderivative of (2* square root of x) + (3/x^4)

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Q: 2 4 dx J x/3(1+x²/3) 3 gin

A:

Q: how that 1 dn v2

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Q: Explain geometrically (without calculation): x/n dx = 1 x" dx + (for n > 0)

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Q: Find the most general antiderivative. 20) [(3x³ - 8x +2)dx

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Q: What is s′(x) when s(x)=ln(5x 3+2x 2+4x+6)?

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Q: 6x+1 や+ 2 dx

A: By using differentiation quotient formula we calculate the given problem.