Compute the exact value of the definite integral Z 5 1 x + 1 x dx. simplify your answer.
Compute the exact value of the definite integral Z 5 1 x + 1 x dx....
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.
14 of 15 (0 complete) Evaluate the definite integral J (1x² - 6x + 5) dx (7x² - 6x + 5) dx = 0 (Simplify your answer.)
x-5 dx. ) Evaluate the definite integral S 22-3x+2 Determine whether the improper integral S, dx converges. If convergent, find its value.
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
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.)
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.)
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
Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact value of the definite integral. foxt dx, n = 4 (x + 2)2 Trapezoidal Simpson's exact The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = 2 - t - 132, 1sts 13 (a) Find the...
b Area A = 1,314 Calculate the definite integral (rix) dx by referring to the figure on the right with the indicated areas. Area B = 2,436 Area C = 3,062 b d X a В Area D = 1,756 b (fix) dx =D d (Simplify your answer.)
Suppose that f(x)dx = 9. Find the value of the following definite integrals. Complete parts (a) through (d). = (Type an exact answer, using radicals as needed.) (b) ] v3f(z)dz = dz=1 (Type (Type an exact answer, using radicals as needed.) (c) f(t)dt = (Type an exact answer, using radicals as needed.) |[-f(x)]dx = (Type an exact answer, using radicals as needed.)