Find the indefinite integral (6+6 tan o)o d0. 6+6 tan 3ODP

Q: Find the indefinite integral (-7-7 tan20) de. S(-7-7 tan e) do =D

A:

Q: x -1 (x? dr +1)x-2) 3.

A: By partial fraction method

Q: Evaluate the given definite integral: tan(x) dx A) In(3) 1 c) [In(2)]/2 In(2/3)

A:

Q: Evaluate the definite integral: (1+ In )? dz. e O 3 7/3 4/8 3一2

A:

Q: Evaluate the given definite integral: tan(x) dx = 1 B [In(2)]/2 In(2/3) In(3)

A: The objective of the question is evaluate the definite integral and choose the correct option.

Q: (r+3) dr 3. V7-6r - r

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

Q: Write the integral as a sum of integrals without absolute values and evaluate: Sri4 | cos x | dx =…

A: We have, |cos(x)| = cos(x) when, π/4 <= x <= π/2 And, |cos(x)| = - cos(x) when, π/2 <= x…

Q: Evaluate the following integral x In (x*+3) dx (you have to show how divide in you the portial…

A:

Q: The indefinite integral [ /xx'dx is А. 5 В. +c C. +c D. 2.

A:

Q: Evaluate the definite integral using an appropriate u-substitution. cos(x²) dæ 4.87424

A: To Determine: evaluate the definite integral using an appropriate u-substitution Given: we a have…

Q: Evaluate the definite integral. 6. dx 16 + (x + 3)2 1.57079632

A:

Q: Which of the following statements about indefinite integrals is true? S ese(x) dr =co(x) + C ®…

A:

Q: Evaluate the integral, if it exists.  ∫0π/8Sec  2θ   tan 2θ dθ

A: This integral can be solved by the Substitution Method. also these you will need these :

Q: Evaluate the integral sin^4 e de from 0 to π/2 * 2π/3 TT/4 31/16 31/5 O h

A:

Q: Evaluate the definite integral. 4 1. du 1 +

A:

Q: Evaluate the integral. ∫0 π/2 Cos2 θ   dθ

A:

Q: The value of the definite integral is Select one: 0 0 O 2/11 O-1/11 O none of the others O 1/11…

A: We have to solve above integral

Q: Find the indefinite integral Se 2 -8 da 2.x + C 14 O 7 In(-2x 7) + C 7. 27 7 + C 2z 7

A: Topic = Integration

Q: Find the indefinite integral (-6-6 tan o) d d. J(-6-6 tano) do =] 9-9- d03D

A:

Q: Evaluate the following integral. ∫(5 + x + tan2x)dx

A: We have to evaluate the integral: ∫5+x+tan2xdx We will use following formula:…

Q: Make the given substitution to evaluate the indefinite integral. 28r dr .u= 3-r 3-r'

A:

Q: Evaluate the given definite integral: tan(x) dx A In(3) [In(2)]/2 In(2/3) 1

A:

Q: Find the indefinite integral (-7-7 tan'e) de. S(-7-7 tan'e) de = O

A:

Q: Evaluate the definite integral. 8. dy /1

A:

Q: 6. Evaluate the following real integrals by residue theerem 3 ans : 493 • I= dX ans 8 12 (bちX)(いゃ) ト

A:

Q: 18. ydy 5-y

A:

Q: [2 + s= 1 Lx-a (x-a)k] dx

A: Explanation of the answer is as follows

Q: Find the indefinite integral

A:

Q: Find the following indefinite integrals: (a) | 32* In(2r) dr (b) VI+3

A: To find the indefinite integrals: a) ∫3x2 ln(2x) dx b) ∫xx + 33 dx

Q: Find the indefinite integrals of the following. +C or In e* –1|-x+C dx In 1.

A: We have to find the indefinite integral: ∫dxex-1 Solving integral by substitution method, Assuming,…

Q: Evaluate the following integral: 1 do tan? 0

A: Let given integral is equal to I

Q: Evaluate the indefinite integral f cos2 (8 · x) dæ

A: The given integral is ∫cos28xdx to evaluate the integral.

Q: Evaluate the integral 0.8 x · In(6 sin r) dæ.

A: Let us assume: u=6sinxdu=6cosxdxcosx·dx=du6 At x=0.2, u=6sin(0.2) At x=0.8, u=6sin(0.8)

Q: 6. [t cos"(7*) dr

A:

Q: Evaluate the definite integral: xdx -1 O 2/3 O 1/3 O 1 O None of these

A: We have to find the value of definite integral: ∫-11x2dx We know the formula of integration,…

Q: In2 Find the definite integral dt O O O

A: Solution given below:

Q: Evaluate the following integrals. a)S sin 9+cos²0 de Coso x25-x2

A: see 2nd and 3rd or 4th step.

Q: +o0 In(tan -1 x) dx 1+x2 1

A:

Q: Evaluate the following integral. (19 sin xcos 'x dk

A:

Q: Find the indefinite integral ∫(1/θ2) cos(1/θ) dθ

A: Here given as I=∫1θ2cos1θdθ

Q: Evaluate the following integrals.

A: Since, we have to evaluate the following integral given below:-I=∫1-cos(x)1+cos(x)dx   -(i)

Q: Evaluate the definite integral. S tanh x dx none of the choices O In(3) O In()

A: The functions of the form , and are trigonometric hyperbolic functions. The derivative of the…

Q: The value of the definite integral is Select one: O 16 3x²dx 0-8 O none of the others 08 0 0

A:

Q: Evaluate the following integral π/4 x tan(x²) dx

A: Let us assume u=x2So, du=2xdxor, du2=xdx

Q: Evaluate the integral. 3-/4 5 sec e tan e de

A:

Q: Evaluate the following indefinite integral. 2 dz 28 +C

A: ∫zn dx = zn+1n+1+C

Q: Evaluate the following integral: 4 Po√250 e(x² +1) dxdy

A: Given integral:- ∫02∫2y4ex2+1dxdy

Q: Evaluate the definite integral. (3t – 1)66 dt

A: From the given problem: I=∫033t-166dt    ...1 As we know that, the power rule: ∫xndx=xn+1n+1+C ;…

Q: Evaluate the definite integral. 1 dx 36 + (x + 5)2 3.07249147

A: