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

Q: 7. If f is negative on [-3, 2], is the definite integral f(x) dx positive or negative? What about…

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

Q: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

Q: Evaluate the indefinite integral using substitution. (Use C' for the constant of integration.) x2 dx…

A: Given:  Let I=∫x2x3-3 dx To Find: To evaluate the given integral.

Q: Find the indefinite integral by making a change of variables. (Use C for the constant of…

A: Answer

Q: Find the indefinite integral. (Use C for the constant of integration.) 9 - ex dx e7x

A: Given integration is : ∫9-exe7xdx  Use the formula of integration, ∫eaxdx=eaxa+C

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 2х — 3 dx х? — За — 4 -

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(8x + 5)®dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 – ex e3x

A: Given that: ∫8-exe3x.dx

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

A:

Q: Find the indefinite integral by making a change of variables. (Use C for the constant of…

A: Consider the given integral ∫(x + 2) √(6-x) dx.Let  u = (6-x)1/2 , then du = 1/2(6-x)-1/2 dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dz 3 7 + z4

A:

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: Evaluate the indefinite integral. (Use C for the constant of integration.) 8 + 4x dx 1 + x2

A: Given:

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

A:

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

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jove ex V45 + ex dx

A:

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

A:

Q: Evaluate the indefinite integral using substitution. (Use C for the constant of integration.) dx =…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) x(1 – 7x2)4 dx

A:

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

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 2x)9 .

A:

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

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) √ +4/5 dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(7 – x)9 dx

A: To determine the indefinite integral.

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

A: topic- indefinite integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 7)®dx

A:

Q: Evaluate the indefinite integral. (use C for the constant of integration.) ∫x^5/(x^6+1) dx=

A: We can find the integration as below

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 1) dx + 9(x2 + 1)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 8x3 + x2 X dx

A:

Q: dt

A: We have to find indefinite integral

Q: 2.2 (e-x* + 1) dx 0.5

A: Topic-integration

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

A:

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

A: To find ∫ t5e-t6dt

Q: Evaluate the indefinite integral et +1 dx et

A: Writing it into sum of two expansions then doing individual integration.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | (ain(x) + 8 sinh(x) -

A:

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

A:

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

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) /(6 - 5x)8 dx

A: Given:

Q: 5. Evaluate the indefinite integral, ſ' coth- dx. - 6.

A:

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

A: Follow the procedure given below.

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

A: Let z = 2 - 2xHence, dz = - 2dxHence, dx = -dz/2

Q: Find the indefinite integral. (Use C for the constant of integration.) 7 dx 49 - (In x)2

A:

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 Cfor the constant of integration.) 9 dx x/ 81 - (In x)2

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) -6r dr

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.)  (7 − 5x)5 dx

A: Assume u=7-5x From there we get dx= du/-5