Which of the following integrals does not require substitution? o fxsin(1 – x²)dx dx 5x²/2 + x3 • cos(In(x)) 4x2 + 1 TT +3 S(xe2x* + 3)dx

Q: 1 dx (1+x2)2

A: Given:

Q: Evaluate the integral I 3 cos (√t) √t dt

A:

Q: Find the integration factor of (3 xy +64²) dx + (2x²gxy) dy zo

A:

Q: 3x²+1 -dx (x+1)(x − 5) ²° AST A. B. I cos (3x cos (3x) sin(5x) dx

A:

Q: If interest in a bank account is compounded continuously, the amount grows at a rate that is…

A: Solution: Given data, Initial amount P = $1000 rate r= 5% = 0.05 According to continuously…

Q: 3- I = xp- (x² + 1)²(x² + 2x + 2) Solve this integral by using Rezidue Therom. 8.

A:

Q: 4x Use the appropriate substitution to evaluate the following integrals: dz =.

A: To find:∫4xx2-1dx

Q: Find the definite integral of S, (2x + x2) dx

A:

Q: 3. Population in a town is given by the exponential equation, P = 14000e05st in t years. a. Write…

A:

Q: Evaluate the Integral dx |. 1 + 2 ax X² 2

A: Consider the integration."Note that as per the rules, we are supposed to answer the first question…

Q: Find the product of the integral 1- L sin(x)ecos(x)-2y dxdy

A:

Q: Evaluate the integral (i) S3x3 sin 4x dx (ii) ſ In (x³ + x) dx (ii) cot-1 2x dx (iv) ſeax cos bx dx

A: