Find the indefinite integral by making the substitution x- 7tan e. dx 49+x²

Q: Find the indefinite integral.

A: Our Aim is to find the indefinite integral given below:-∫x2 sech2 (x3)  -(i)

Q: Evaluate the indefinite integral by using the substitution u = 6-x° to reduce the integral to…

A:

Q: Evaluate the indefinite integral dx x2 + 7 + C

A:

Q: Find the indefinite integral using the substitution x = 4 sin θ

A: Given :              The indefinite integral                                 ∫x316-x2dx

Q: Evaluate the indefinite integral. x + 1 da x² + 2x + 2 + C

A:

Q: Use the Method of Substitution to find the indefinite integrals: a) / te“dt (q

A:

Q: Evaluate the indefinite integral -dx x6 + 1 + C

A:

Q: Evaluate the integral, if it exists.    ∫0T (x4 - 8x  +7) dx

A:

Q: Find the indefinite integral by using the appropriate formula'. ∫e2x cos 3x dx

A:

Q: 8 x3 dx Vx2 + 36

A:

Q: View Image for problem

A:

Q: Evaluate the following definite integral using substitution rule Só 2x /x² + 2 dx 1.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the indefinite integral

A:

Q: In x dx

A: Given,            ∫ln (x)x dx

Q: Evaluate the integral, if it exists.    ∫01 (1 -x9) dx

A:

Q: Evaluate the indefinite integral by using the substitution u = 6-x* to reduce the integral to…

A:

Q: Use the definition of the definite integral to evaluate: + 6х +1)dx

A:

Q: Evaluate the definite integral. dx | 25 + (x + 4)2

A:

Q: Use substitution to find the indefinite integral

A: Given, ∫2+lnxx dx

Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: Then integrate with substitution

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to…

A: This question is related to definite integration, we will solve it using given information.

Q: 2. dx 1+√√x

A: integration

Q: Use substitution to find the indefinite integral. p(p+3)°dp

A:

Q: - 2 – 3x dx

A:

Q: [x² (-2 + x² )* dx

A:

Q: Evaluate the integral, if it exists.

A: The given integral is ∫x+2x2+4xdx. Evaluate the integral.

Q: Use substitution to find the indefinite integral

A:

Q: Efxe*dx (1+x)2

A:

Q: 5. -dx 1 + x

A:

Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

A:

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

A:

Q: (In x)® + 1 5. dx

A:

Q: cos(x* + 2) dx

A: To Evaluate: ∫x3cosx4+2dx Concept: ∫cosxdx=sinx+C

Q: Use a table of integrals to find the indefinite integral

A: Consider the given integral ∫ex1-e2x32dx

Q: find the indefinite integral of e^(x)sqrt(8-e^x) dx

A:

Q: Find the indefinite integral. 1 dx = +C. x +

A:

Q: Find the indefinite integral f x5e 2x°dx .

A:

Q: cos (78) dx, u=7

A:

Q: Find the integral by using the integral table on the inside bac dx x(x + 5) + C

A:

Q: Find the Indefinite Integral. (R 1 dx XV 4x + 81

A:

Q: しx(x*+) dx

A: Integration

Q: Find the indefinite integral by using the substitution x = 2 tan(0). (Use C for the constant of…

A: Given ∫2x24+x22dx and x=2tanθ

Q: x + 4 dx = x' + 4x

A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…

Q: Use the substitution u =x +3 to evaluate the indefinite integral below. dx

A: Given Data: Integrand: ∫2xx2+35dx Substitution: u=x2+3 ......1 The derivative of equation (1) with…

Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

A:

Q: Use the Change of Variables Formula to evaluate the definite integral. 6 In x dp- 1

A:

Q: Find the indefinite integral by using the substitution x = 4 tan(0). (Use C for the com 4x2 dx (16 +…

A: on solving this we get the