Name(PRINT): MAC 2233 Worksheet 10 1. Calculate the definite integral. % (223 -3. + 5) dx...
1. Calculate the definite integral 1 (229-33 +5) de (a) Find an antiderivative F(x)= (b) Evaluate F(2) F(2) = (c) Evaluate F(1) F(1) = (d) Calculate the definite integral 3x + 5) dx = 2. Calculate the definite integral. Give exact answers. Зе -Te du (a) Find an antiderivative F(*) = (b) Evaluate F(0) F(0) (c) Evaluate F(-1) F(-1) = (d) Calculate the definite integral.
Problem 10. (1 point) 5." -4 sin x dx a) Approximate the definite integral with the Trapezoid Rule and n = 4. b) Approximate the definite integral with Simpson's Rule and n = 4. c) Find the exact value of the integral.
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 1 2 3 dx 1 2 3 dx √1-x² (Type an exact answer.) S 11
help please Evaluate the definite integral using the Fundamental Theorem of Calculus. (1+ (1 + 14х5) dx Use The Fundamental Theorem of Calculus and the antiderivative found in Step 2 to evaluate the definite integral. fo* (2 + 14x5) dx = = (x+3x0916 (1+](O* )-( O*+O) “) 10 3
Use a change of variables to evaluate the following definite integral. 0 S xV81-x* dx -3 Determine a change of variables from x to u. Choose the correct answer below. O A. u=x4 O B. u = 81- x4 O C. u = 4x3 OD. u= 181 - x4 Write the integral in terms of u. S xV81-x* dx= du -3 Evaluate the integral. 0 5 x 181-x* dx= { -3 (Type an exact answer.)
Use the properties of the definite integral in your solutions. 1. Suppose that [*r(e)dx = 5, [° f(a)dx = -3, [*9(a)dx = -1, and ſº o(e)dx = 2. Evaluate Jo each of the following definite integrals. (a) %* ((e)+ 9(e) de (b) [" (F(*) + 9(a) do (e) ſ (sca) – ola) de (a) " (45(e) – 39(a) de
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 6 dx S √1-x² 0 V3 2 6 dx 5 0 V1 - (Type an exact answer.)
(1 point) Evaluate the definite integral. | << + 1)e+2+28-3 dx =
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2. 3 dx 2 (Type an exact answer.)
Definite Integral of Absolute Value Function Worksheet a. $ 1x2 – 4|dx b. 5. L, 14 – x2\dx c 11 – x?]dx d. s]x2 – 3x - 4|dx