If f(x) = 4 + 6, then what is the indefinite integral of f(x) with respect to x? x2 O 4 – + C 4 + C -- 8 + 6х + C 4 + 6х + C 4 + 6х + C --

Q: 5-e* 2x

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Q: (6x + 4x? -90x - 64 da Consider the indefinite integral x2 16 -

A: I = ∫6x3+4x2-90x-64x2-16dx as Numerator degree is greater than denominator degree, So, on dividing…

Q: y + 6 -dy (Int. of Rational func.) y² + y 2)

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Q: 2x2 +13 5. S (1-x) (x2 +4) (++ z^)(x-1)

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Q: 10) Suppose that f is continuous and that f(z) dz = 0 and f(z) dz = 5. Find - 6f(x) dx . -3 -3 A) 30…

A: ∫-33f(z) dz = 0  ,    ∫-35 f(z) dz   = 5find -∫356f(x) dx∫abf(x) dx    = ∫acf(x) dx   +∫cb f(x)…

Q: find the integral of F(x) = x6(x7-8)4 dx

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Q: Evaluate the integral. 3 if -2 < x < 0 f(x) dx where f(x) %D (5 – x² - x² if 0 < x < 4 -2

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Q: Find the indefinite integrals: 15/2 + 4x + 1 a) rp- b) 6t" + + xe' ) dt

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Q: Evaluate the indefinite integral f/2+ /2 + x*dx =

A: Given :-∫x3 2+x4 dxsolution:-using integration by u-substitutionlet,2+x4=udifferentiate both…

Q: Find the indefinite integral

A: To solve the integral, use the substitution method and consider x4-4 as u. Differentiate both sides…

Q: Evaluate the indefinite integral: (x² – 3)*(2x) dx -

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Q: Evaluate the definite integral. Sí f (x) dx, ƒ (x) =3"–(15x³+ 6)/x²

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Q: What is the indefinite integral of f (x) = x² + 12? f (x² +12) dx = 3 + 12x + C 1 3x³ S(x² + 12)dx =…

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Q: Question 13

A: 12. Given Rewriting the function: Applying the antiderivative with respect of x:

Q: Evaluate the integral from -n/2 to +t/2 of x² sin x.

A: Given integral

Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

Q: Find the general indefinite integrals of: 6x xp. 4. (x2-7)1/9 A

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Q: Find the indefinite integral. Solution in handwritten. 1. f(x²-9)(2x) dx (-8x)√3-4x²dx 2.

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Q: If f(x) = 4x + 5, then what is the indefinite integral of f(x) with respect to x? O 2x? + C O 4x2 +…

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Q: Evaluate the indefinite integral. x2 + C dx J (x²-7)5/2 x(² –7)

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Q: 1 | x(x2 + 1)*dx -1 |

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Q: Evaluate the definite integral. 2 e3x dx 3x 1 + e3x

A: Here, we can see that the numerator is of the form of the derivative of the denominator, hence, we…

Q: .\o x³ + 1 43-48 Use the Comparison Theorem to determine whether the integral is convergent or…

A: As per our guidelines we can solve only three sub parts at a time. Please repost unsolved part…

Q: Find the indefinite integral. xx-6x+9 f ***) dx 3.

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Q: evaluate the definite integral.

A: Here given Use the standard result of integration as

Q: Find the indefinite integral.

A: To find: The indefinite integral ∫dxxln x23. Concept used: Power rule of logarithmic: ln ab=b·ln a…

Q: Find the indefinite integral (10tan?x+ 16)dx, а. 10tanx + бх + C 10 3 b. -tan'x+16x +C 3 10 3 tan'x…

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Q: Зx2 + 4х + 1 dx ). *3

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Q: Evaluate the indefinite integrals. (a) ƒ 2r(x² – 3)³ dx

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Q: 3x2 + 2x +1 dx x2

A: See the attachment

Q: Find the indefinate integral for f(x) = (x^1/2)+(1/x)-9e^x

A: Given,

Q: 7 For the integral 3xVx + 6dx, if we use the substitution u = x + 6, we can rewrite the integral in…

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Q: Evaluate the definite integral of f(x)=3x^2+2x+ x^(1/2) over the interval [0,1]

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Q: dx 1. -1 V1 – 2x – x²

A: Explained below

Q: Find the general indefinite integral.   ∫ (x2+  x-2)    dx

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Q: 2t + 1 What is the indefinite integral of 13 -812+ 21t dt 18

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Q: The sum 5 -1 f(x) dx + f(x) dx – f(x) dx can be written as a single integral in the form f(x) dx…

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Q: 3. Evaluate the definite integral below: S¯¼ √x² + 2x − 5dx + Sq − √x² + 2x − 5dx

A: To solve the following integral problem

Q: Evaluate the definite integral. 3 (x² – 2)2 dx

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Q: 1) Find the indefinite integral of the following functions: 3 2x+ 3x4 a) y = Axt B 3 b) y =x-1 +…

A: Indefinite Integration

Q: Vx2 – 4 dx x2

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Q: The integral of the given function f x2 dx is (9-x2)2

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Q: 3 aluate the indefinite integral by using the substitution u = x + x° to reduce integral to standard…

A: Please refer to the image below

Q: Evaluate the definite integral. (x² – 3) dx -4

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Q: Find the indefinite integral: O x4+x+C Ox5/5+x²/2+c O x5 + x² + c O 5x5+2x²+c Sx(x³ + 1) dx

A: Given ∫x(x3+1) dxTo evaluate the integral:

Q: 2. fx²5-x' dx

A: ∫01x25-x3dxapply u substitution;take, u = -x3;du = -3x2-du3=x2then our equation can be written as…

Q: 4: Find the indefinite integral of f(u) = -1-3√ =

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Q: Evaluate the indefinite integral. dx (9 – x²)3/2

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Q: Evaluate the definite integral. 5x2 + 1 dx = x2

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Q: If f(x) = 8x³+4, then what is the indefinite integral of f(x) with respect to x? O 2x4 + C O 8x4 + C…

A: Given:f(x)=8x3+4   Let I is the value of indefinite Integral of f(x) with respect to x.