Approximate the integral using: (a) the right R10, left L10, and the midpoint M10 rectangular rule approximation, (b) the trapezoidal approximation T10, and (c) Simpson's rule approximation S10. In each case, find the exact value of the integral and approximate the absolute error. Express your answers to at least four decimal places. a. f sin (x) dx b. ₁²e-2x dx c. 1/(3x + 1) dx

Q: sin(x2 + y?)dA, where 34. Calculate D = +

A:

Q: 1/2 (2 – sin 0)²

A:

Q: P6. Use the trigonometric substitution to solve the following integrals. a) S dx x²-8x+1

A:

Q: 2rx · sin(rx²)dx sec²(/x) dx

A:

Q: T Use Trapezoid rule to approximate the value of sin xdx. 4 sản xuất 0

A: using h=pi/4 and formula for Trapezoid rule.  If you change h you will different answer. You can…

Q: Consider the integral x2 dæ, (x² + a²)³/2 where a is a positive real number.

A:

Q: find formulas for the functions represented by the integrals.

A:

Q: Write the definite integral for finding the indicated arc length or surface area. Then use the…

A:

Q: (tan'x de 3 1. [cse* xdx 4 2. csc"xdx 3. |tan 3x sec 3xdx

A:

Q: Need help in business calculus.  Need help with finding the definite integral exactly for upper…

A:

Q: tan³ (In x) sec (In x) dx (8)

A:

Q: 1. Evaluate the integral. S. a) t sin3tdt b) / V1+a* dx

A: (a) Given: ∫0πt sin 3t dt Apply integration By part : ∫I.II dx=I∫II dx-∫ddxI∫II dxdx Take: I=t and…

Q: V9x² – 25 53. dx, x > 3 +3

A: consider I= ∫9x2-25x3 dx