1. Evaluate the indefinite integrals. So ) / (√² + 1/2 ) de 1 / (+² + ₁ + 2) dx 1/1 x (a) (sin (7x) + e-/2) dx

Q: 3. The integral of sin24x cos4x dx is a. (1/4) sin³ 4x + C b. (1/3) sin³ 4x +C c. (1/12) sin³ 4x+ C…

A:

Q: 1. [ (6x² – 2x+3)dx sin(2x)dx 3 2. 3. S2 8 dx X+2

A:

Q: I-Shinx dx Ig-/sin'xdx 2-x2 dx

A: We have to evaluate the above integrals. NOTE - According to our guidelines we have to answer only…

Q: 17) Calculate the indefinite integral S-5dx √4-16x² 16) Evaluate the definite integral Š - 0 3…

A: 16).17).

Q: Evaluate the definite integral. (2x + 2)(2x - 2) dx =

A: Using definite integral formulas

Q: |(sin 3x + cos 2.x)* dx

A: Given integral is ∫sin3x+cos2x2dx

Q: Evaluate the definite integral. (Be sure to show your work.) (a) / (2³ + 1)dx (sin x + 1)dx 2 (b) /…

A: Since you have posted question with multi-parts. As per guidelines, we"ll solve only first three…

Q: /2 1. (a) Use the Wallis cosine formula to evaluate cos' x dx. (b) Evaluate | 1 - dx by using…

A: Wallis's formula state that 1. if  n is odd and n≥3,then ∫0π2cosnxdx=23.45.67 . . . n-1n Therefore,…

Q: Evaluate 4x cos(2-3x) dx

A: Given: The objective is to evaluate ∫4xcos2-3xdx.

Q: 4. Find the indefinite integrals. What should u be? a. (2x+6)³ dx · √ (3x² − 1)ex³-xdx - 1 b. / 3x²+…

A: Step 1: Basic integration formula used: ∫undu=n+1un+1​+C Step 2:Step 3:Step 4:Step 5:

Q: 13) Calculate definite integral. Give answer as a fraction in lowest terms (x2 – 2x-3 + 3)dx

A: We will use integration rules

Q: V 6² — (x − a)². b) Use a trigonometric substitution to evaluate the indefinite integral. s dx You…

A:

Q: 12) Evaluate the following: (a) Evaluate the definite integral: f¹(7 √x + 3x • √x) dx (Leave answer…

A:

Q: √√2/2 11x² dx So √₁-x²² 10

A:

Q: Find ∫R x sin2(x) / x6 + 1 dx. COMPLEX ANALYSIS..

A: The given expression is, ∫Rxsin2xx6+1dx To find the value of the given expression.