Which of the following is equivalent to the definite integral VX-6e2x dx? A. ocz(1) 2 -...
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
Name(PRINT): MAC 2233 Worksheet 10 1. Calculate the definite integral. % (223 -3. + 5) dx (a) Find an antiderivative F() (b) Evaluate F(2) F(2) (c) Evaluate F(1) F(1) = (d) Calculate the definite integral. (23- - 3.r+5) da 2. Calculate the definito integral. Give exact answers. 3e="é do (a) Find an antiderivative F() (b) Evaluate F(0) F(0) (c) Evaluate F(-1) F(-1) = (a) Calculate the definite integral. 3e
Evaluate the definite integral. (4x + sin x) dx (1) + + 73/2 (2) 12 - 2/2 (3) 212 + 2 (4) -1
Use a change of variables to evaluate the following definite integral. 0 Sxva-x? dx - 2 Determine a change of variables from x to u. Choose the correct answer below. O A. u = 2x O B. u= 14-x? O c. u=x? OD. u=4 - x? Write the integral in terms of u. 0 Sxda- ox= so du -2. Evaluate the integral. 0 Sxda-x? dx=0 -2
Calculate the definite integral by referring to the figure with the indicated areas, 0 f(x)dx Area A = 1.565 Area B = 2.469 Area C = 5.421 Area D = 1.711 f(x)dx= 0) 6 of 32 (1 complete)
reverse the order of
integration before solving please!
5. (12 points) Evaluate the definite integral 1 1(lnx)2 -dx dy. Го Jey
5. (12 points) Evaluate the definite integral 1 1(lnx)2 -dx dy. Го Jey
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.)
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.
Sketch the region whose area is given by the definite integral. V4-2 dx OLX 1 2 -2 -1 2 .-2 -1 1 2 6-2 2 -1 Then use a geometric formula to evaluate the integral (a > 0, r>0).
please help with number 15
15. Given the following definite integral, lo x + x dx a. Evaluate the integral using limits, showing all steps: b. Confirm your result by using the rules of integration and the Fundamental Theorem of Calculus: TUUKU U uit alta vi tile region bounded by the following equations (Note that this is an "area between functions" question, and not a question of finding the definite integral): y = 5x - 1 y = 0 x...