Use the basic integration rules to find or evaluate the integral ∫2x /(x − 3)  dx

Q: Evaluate the integral. (Use C for the constant of integration.) 3 dx x(x4 + 5)

A: In this integrated we will assume x4 =t , then we will solve it

Q: Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

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Q: Find the indefinite integral. (Use C for the constant of integration.) -0.2x е dx

A: We have to find indefinite integration: ∫e-0.2xdx In this case we use substitution method, so let…

Q: Evaluate the integral. (Use C for the constant of integration.) dx - x2

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Q: Use the basic integration rules to find or evaluate the integral.

A: Indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that F'(x)=f(x).…

Q: Use the basic integration rules to find or evaluate the integral ∫x2 √(x3 − 27) dx

A: Now put

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | (in(x))6 dx х

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 dx 49 – x2

A: With the help of trigonometric substitution we can easily solve this question. Try putting x=7sin(t)…

Q: Use integration by parts to find the indefinite integral ∫x e1-x dx

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

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 - 9x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) x² dx 81 - x2

A: Given,             ∫x281 - x2dx

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: Consider the given integration as

Q: Evaluate the integral. (Use C for the constant of integration.) dx x² - 3

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Q: Find the general indefinite integral. (Use C for the constant of integration.) | (x1.3 + 9x3.5) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

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

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

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx) xp

A: The given integral is∫6coshxxdxwe will solve the above integral using substitution method.

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.8 + 7x2.5) dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1 dx

A: (a) The given integral is ∫x-1xdx. ∫x-1xdx=∫x dx-∫1xdx         Difference rule of integration…

Q: Use the basic integration rules to find or evaluate the integral

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below

Q: Evaluate the integral. (Use C for the constant of integration.) x + 21 dx x + 20x + 104

A: Consider the provided integral, ∫x+21x2+20x+104dx Evaluate the provided integral. Apply the…

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

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 dx 25 – x2

A: Let, Integrate using substitution,

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ (In(x))²6 dx X

A: topic- indefinite integral

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(7x² + 8 + 2²1) dx +

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Q: Evaluate the integral. (Use C for the constant of integration.) х dx x2 + x + 3

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Q: x³ + 3x dx. x2 + 1

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Q: Use the basic integration rules to find or evaluate the integral                     ∫100 /√(100 −…

A: Given that : The integral is ∫100100 - x2 dx .

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx (6x – 5)2

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Q: Evaluate the integral. (Use C for the constant of integration.) (ln(x))2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 dx x(x* + 1)

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Q: /2) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(Vx) xp

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

A: To evaluate

Q: Evaluate the integral. (Use C for the constant of integration.) 8x 8 dx 8x e

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

A: The given integral is ∫x2-64x3dx. Let us assume u=x2-64 and v'=1x3. Differentiate u with respect to…

Q: Evaluate the integral. (Use C for the constant of integration.) xổ dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 8 + x dx 8 -

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Q: dx x2-6x+20

A: To evaluate the given definite integral

Q: Use the basic integration rules to find or evaluate the integral ∫x/ 3√(4 − x2) dx

A: The given integral is ∫x4-x23dx.

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

A: Given an indefinite integral

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

A: Given,          ∫x8ex9-2dx

Q: Evaluate the integral. (Use C for the constant of integration.) (3x5 + 1) dx

A: see 2nd step.

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: Use the basic integration rules to find or evaluate the integral

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Q: Evaluate the integral. (Use C for the constant of integration.) | (x – 3)sin(xx) dx

A: The given integral:∫x-3sinπxdxWe need to evaluate the above integral.We will use integral by parts…

Q: Evaluate the integral. (Use C for the constant of integration.) x dx

A: