9. Use the values f(x) dx = 8 and g(x) dx = 3 to evaluate the definite integral. 9. (a) 3g(x) dx (b) f(x) dx 6. (c) f(x) dx 6. (d) [F(x) – f(x)] dx

Q: -Find the value of th integral e-x' dx.

A: Consider I = ∫0∞e-x2 dx                              (1) Let x2 = t On differentiating both sides,…

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A: It is given that function f is negative on -3,2

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A: Gamma function

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A:

Q: Find the indefinite integral. x(x+5)dx |Vax + 5)dx=| (Use C as the arbitrary constant.)

A: Given integral

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Q: Find the indefinite integral. (Use C for the constant of integration.) (x + 1)8(x + 1)2 dx

A: Consider the given formula, ∫x+18x+12dx use the substitution method to solve this integral as…

Q: Q1- Express of the integral in term of Gamma function and simplify * x*e-2x dx. where possible

A: Use gamma function

Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 4 x2 ) dx

A:

Q: 3. Find the indefinite integral: Sx(x-2)* dx

A: Please rate

Q: Evaluate the integral. | (e7* +3e -x) dx 7X +3 e -X) dx=

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) ex V1- e2x dx

A: Calculate the integration in the following way:-

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A: We need to compute the given integral.

Q: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.

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A:

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A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ot dx 1 + x20

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x2 + 3

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) ーx)3(2 - x) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (Sx² + 8 +) dx 4 x2 +…

A:

Q: (6). Find the exact value of the definite integral by geometry. 2x +5 dx 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9x° + 5 (+9 dx (x° + 5x)-

A: To evaluate the given indefinite integral.

Q: (9) Evaluate the indefinite integral f X+2 dx x² + 4x 2

A:

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A: Topic-integration

Q: Evaluate the indefinite integral. (Use C for the constant of integration. to dx 1+x20

A: To evaluate

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A:

Q: One of the correct. steps to evaluate x²inx. x²Inx dx to yield the correct integral (A dx x2Inx B x³…

A: The given integral,     ∫x2lnx dx

Q: Find the indefinite integral. (Use C for the constant of integration.) e2x dx 81 + e4x

A: the given indefinite integral is: ∫e2x81+e4xdx we have to evaluate the given indefinite integral.…

Q: Find the indefinite integral. (Use C for the constant of integration.) x* + x – 25 dx x2 + 5 1 3 -…

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Q: e2x 2.) S. dx ex – 5

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.2 + 9x3.5) dx

A: It is indefinite integration problem.

Q: If  10 f(x) dx = 37 integral 0  and  10 g(x) dx = 12, integral 0  find  10 [4f(x) + 5g(x)] dx.…

A: For ∫abf(x) dx, ∫abg(x) dx,  ⇒∫abf(x) dx+∫abg(x) dx=∫abf(x)+g(x) dx as both integrals have same…

Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

A:

Q: 6. Evaluate the integral e* dx ex + e-x

A:

Q: Find the indefinite integral ∫ (e4x − e2x + 1) / ex   dx

A: Here given as It can be written as

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A:

Q: Can i get help step by step with this problem?

A: Separate the integrals.

Q: Find the indefinite integral. (Use C for the constant of integration.) x - 2) dx

A: Given,          ∫x8ex9-2dx

Q: 2) (2 points) if you know that f(x)dx =15 and S(x)dx = 8, find [ 3/(x)de using properties of the…

A: Suppose that a point c belongs to the interval [a,b]. Then the definite integral of a function f(x)…

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A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.

Q: Find the indefinite integral. (Use C for the constant of integration.) cos 2x dx

A:

Q: 5. Evaluate the definite integral (1+lnx)² dx а. 1 dx. b. -1 2x+3

A: Explanation of the answer is as follows

Q: Find the indefinite integral. (Use C for the constant of integration.) dx | x(In(x²))5

A: This is the indefinite integral problem

Q: (10) Į dx 2x +7x – 4 .2 (11) ſx²e* 2-5x хе dx T/2 (12) | x sin x cos x dx X

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Q: valuate the definite integral: 4 x* — 2ух + 2 - -dx. x2

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.8 + 9x3.5) dx

A: Given, ∫ x1.8+9x3.5dx