Evaluate the integral using the given substitution. Sx cos (10n2) dx, u = 10x² sin (10x²) - C sin (10x*) + C 20 O sin(10x) + C O sin (u) + C

Q: Evaluate the integral using the given substitution. Jx cos (6x?) dx, u=6x? x2 O A. sin (6x?) +C 2 1…

A: As per our guidelines we need to solve only one question.please repost the remaining questions as…

Q: Q2) Find the integral of: f*,6 tan*x dx

A:

Q: Determine the following integrals: I. In x dx II. | a? cos(2r) dx III. cos° x dx

A: As per our guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: Q2 Find the integral for the following : 2- fe-*sec? (ne-*)dx dx 3- JItex dx 1-S; 2x+2x

A:

Q: Evaluate the integrals: cos2x-1 а. cos2x+1 dx b. S- x (Iпх)5 1 S 2-**x?dx с.

A: Topic-. Integration.   Note - as per our guideline only first three subparts to be solve others can…

Q: Evaluate the integral 7ª S* (y cos x + 4) dydæ.

A: The detailed solution is given below Thank you

Q: Evaluate the following Integrals 1 I. dx 1-cos x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Compute the following integrals: sin x dx -T/2 :/3 |(cos x)(sin? x) dx -n/3

A:

Q: Evaluate the integral. S-3x cos(2x) dx

A:

Q: Evaluate the integral. (x+1) cos(6x) dæ

A:

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

A:

Q: Determine the following integrals (a). cos xsin.xdx (b) [- dx 17-5x+6 (c) fxe*dx

A:

Q: Evaluate the integral: S sinhxcosh(-x)dx Select one: 2cosh2z a. +C 5 b. h 3cosh2z + C sinh2z +C 4 C.…

A: Given:  Let I=∫sinh x cosh-x dx  To Find: To evaluate the given integral.

Q: dx 4 sın*3x tan

A:

Q: Which of the following integrals is NOT appropriate for a substitution method? A 5x*sin(x³)dx ®…

A:

Q: Use ff(x) dx = F(b) – F(a) to evaluate these integrals: 4 x²e** dx 2. sin x dx 2 In x dx (

A:

Q: Evaluate the integral using the given substitution. 15) 1- sin cos dt, u = 1 - sin 13 1 - sin + C A)…

A:

Q: Evaluate the integrals

A: We have to evaluate ∫0π1-cos2θ dθ We know that sin2θ+cos2θ=1 ⇒ 1-cos2θ=sin2θ Therefore,…

Q: Evaluate the integral. x2 cos(7 x) dx +C

A: The given integral is: I=∫x2 cos(7x) dx

Q: Q2) Find the integral of: 6 tan*x dx

A:

Q: Evaluate the integral in the form a sin(u(x)) + C for an appropriate choice of u(x) and constant a:…

A: given,         A=∫x2cosx3+1dx

Q: a) Evaluate the following integrals 1) xe3*dx 2) | x2 sin x dx 3) | x sin 2x dx

A:

Q: Evaluate the integral. a 6 dx ਚ 2 + a> 0

A:

Q: Which of the following integrals are improper? (Select all that apply.) 1 dx 6x dx 2x - 1 sin(x) dx…

A: We have to find out the improper integral from the given options

Q: Evaluate the integrals: A: So So x sin y dy dx

A: ∫0π∫0xx siny dy dx

Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: Evaluate the integral x3 dx 2+100 S x3 dx +100 (Use C as the arbitrary constant.)

A: Given,

Q: Evaluate the integral. 13 x2 e-2 dx + C

A: topic - indefinite integral

Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

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

A:

Q: Evaluate the integral using the given substitution. Jx cos (5x?) dx, u=5x? O A. sin (5x2) +c 1 O B.…

A: Note:Since you have asked multiple question, as per our guidelines we are supposed to answer only…

Q: тх e COs nx dx

A: We have to evaluate the integral  ∫emx cos nx dx.

Q: Find the integral of ([sin(x)]^6){[cos(x)]^7)dx from x=0 to x = pi/2. 14/1001 15/2002 16/3003…

A: …

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

A: Let I is the value of given Integration.

Q: Evaluate the integral cos (x) sin(x) dx using the substitution u = = cos(x). | cos" (x) sin(x) dx 13…

A: topic - integration

Q: Evaluate the integral Se cos(2x)dx

A:

Q: Evaluate the given integrals 1 -dx b. Į S7-2 cos x

A:

Q: d) Determine the infinite integrals of the following i. ii. JF 3 sin2x dx

A: Evaluate the definite Integral

Q: a) Evaluate the following integrals ce3xdx 2) | x² sin x dx 2) x2 sin x dx x

A:

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

A:

Q: f(cos*x- sin *xkx *a

A:

Q: a) Evaluate the following integrals 1) | xe3xdx x² sin x dx 3) | x sin 2x dx

A:

Q: Evaluate the integral: a cos (4) dx x² sin² ( ÷) where a is a nonzero constant.

A: Given,  ∫  a cosaxx2 sin2axdx

Q: Evaluate the integrals below:. cos3x .dx, b) elsin3x) – 1). a) 0.

A:

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

A:

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

A:

Q: Evaluate the integrals: (d) ∫(lnx)2dx. (e) ∫tan−1(3x)dx. (f)∫cos4(3x)dx.

A: We can evaluate the first two integrals by using  the integration by parts method. To evaluate…

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it,

Q: Evaluate the integral cos (x) sin(x) dx 13 using the substitution u = cos(x). cos(x) sin(x) d.x ,13…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 3. Find the integral: L,x*dx

A: