(1+x|) sin²(x)+ sin(x) 1+x| The integral dx is equal to 2

Q: Find the indefinite integral. ∫(5 cos x − 2 sec2 x) dx

A: We first separate the integrals then integrate.  C=integrating constant

Q: dy + sin 2x + sin 2y + 2 sin 2x sin 2y dx solve by Separable method

A:

Q: Solve: The indefinite integral of the integrand (cos x/1+sin2 x) dx

A:

Q: sin 0 -d0 4+ cos 0 Evaluate

A:

Q: x dx = b2 - . T/2 cos(x) dx = 1, together with the properties of definite integrals, to evaluate…

A: To calculate the integral using the given formulae

Q: 3. tan' x sec' xdx cos x 4. sin x Find the indefinite integral and check the result by…

A:

Q: Find the indefinite integral.

A: To find the indefinite integral: ∫5cosx - 2sec2xdx Solution: Evaluating the integral. ∫5cosx -…

Q: Solve indefinite integral ∫ cos(πx)/sin^3(πx) dx

A:

Q: Find the indefinite integral. ​ integral of sin^3(4x)*cos^4(4x)dx

A: Important points for the question: 1. sin2 x + cos2 x = 1   sin2 4x + cos2 4x = 1 2. ∫xn.dx =…

Q: What are the new limits of integration if apply the substitution u = 6x + n to the integral sin (6x…

A:

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: sin(x) 19. Evaluate -dxdy by changing the limits of integration appropriately.

A:

Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

Q: Evaluate the integral. ∫0 π/2  Sin2 x Cos 2 x dx

A: Consider the given integral as Use the identity to solve the integral such that

Q: ntegral of  x^2 sin(4x^3)dx

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 5. COS 5. - cos vx dx x1

A: Indefinate integration problem.....

Q: Find integral of sin^2 (x/2) dx with bounds of 0 to pi

A: Find the integral of sin^2 (x/2) dx with the bounds 0 to π.

Q: Evaluate f x² cos 4x dx Evaluateſ sin* 3x cos3 3x dx Evaluate the integral J x²+x-1 dx x(x²-1)

A: Given:   i) ∫x2cos 4x dx      integrate by parts ∫fg'=fg-∫f'g     here f=x2,f'=2x , g'=cos…

Q: 62-a2 x dx = cos(x) dx = 1, together with the properties of definite integrals, to evaluate (2…

A:

Q: Using integration by parts, we can convert the integral x200 . sin x dx to which of the following?…

A:

Q: Evaluate the definite integral. "1/3 3 dx V1- 9x²

A:

Q: II. Definite Integral x²dx 1. 3 (1-x3)7 2. sin³ ydy

A:

Q: (6). Find the exact value of the definite integral by geometry. 2x +5 dx 1

A:

Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

Q: Q-6: Evaluate the integral 1). dx So Jie-1

A:

Q: What are the new limits of integration if apply the substitution u = 5x + n to the integral sin (5x…

A:

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: гл/2 (3 cos(x) – 2x) dx. л/2 Given that use this result and the fact that cos(x) dx = 1, together…

A:

Q: The value of the integral (x–1)* sin (x 1) (x-1) +cos (x-1) is

A:

Q: integral of (e^2x)(sin3x) using u=e^2x

A: Given, ∫e2xsin3xdx    We have to find the integral

Q: integral from 2 to 3 of (x^3 - 2x) dx / x-1

A:

Q: 9. S sec³ x tan x dx

A: Given ∫sec3xtanxdx We know that  ∫secx.tanx=secx + c ∫xndx=xn+1n+1+c

Q: 1. Integral of x sin^3 (x^2) 2. Integral of sin^4 3x

A:

Q: Integral of 2cos^2x+3sin^2x dx from 0 to pi/2

A:

Q: Solve using an integral cos²(x) + 2cos²( cos³(x) .dx

A: Evaluation of the integral

Q: Find the general indefinite integral

A:

Q: [sin(In x) + cos(In x)]* dx 3. xp: 3x/10 In(3x) – (In(3x))²

A:

Q: IT Evaluate the integral: (cos x + sin x cosx)dx

A:

Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. 2 |…

A: Use substitution method

Q: Evaluate the indefinite integral (3+3 sin2(x))/sin2(x) dx

A: topic - indefinite integration

Q: Use integration by parts to verify the reduction formula.

A: We have to verify the reduction formula using integration by parts: ∫sinn x dx=-sinn-1 x cos…

Q: cos(9x) -dx COS J 1+ sin²(9x)

A:

Q: Find the general indefinite integral.

A:

Q: cos x -dx Compute the integral 1+(sin x)²

A: replace sinx=u cosxdx=du limits of u will be 0 to 1

Q: Q3: Use integration by parts (Tabular method) to find the integral (r³_2 x² +3x +1) sin(2x) dr

A: The given integral is ∫x3-2x2+3x+1sin2xdx To solve the integral using by parts .

Q: b) By using integration parts, show that ii. S(3x + 5) sin(2x + 3)dx = -÷(3x + 5) cos(2x +3) +sin(2x…

A: By using integration by parts, show that∫3x+5 sin2x+3 dx=-123x+5 cos2x+3+34 sin2x+3+C

Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

A: Given ∫(sinx)3dx=∫sin3xdx

Q: (sin-l x)² dx V1-x²

A:

Q: 3メーメヤxー9 dx x²-3x+2

A:

Q: 1. Use integration by parts to find (3x – 1) sin x dx.

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