3. (36%) Evaluate the following (a) , (χo + 2χρ.ο) dam (b) limf dx. (DCT) 1+ x2 n-00 3. (36%) Evaluate the fol...
Evaluate the following integral or state that it diverges. 00 dx S x2 + 256 - 00 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. dx ОА. s (Type an exact answer, using * as needed.) + 256 OB. The improper integral diverges.
3. Evaluate 3. Evaluate | dx Ja=-00 X6 + 1
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
Evaluate the following
3. $.* * sin(x2) dx
Evaluate the following integral using trigonometric substitution. dx s 3 2 (529 + x2) dx 3 2 (529 +x2) (Type an exact answer.)
Evaluate the following integral. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
Evaluate the following
1+ y2 (1 + x2)xy Evaluate dy dr ' Sear²dx ſ 2 sec(3.c)dc
(a) Write s} (x2 – 3x)dx as a limit of a Riemann sums. (b) Evaluate this limit exactly using sum properties: n(n+1) and n(n + 1)(2n + 1) 6 2 (c) Use the Fundamental Theorem of Calculus to confirm the result in (b)
evaluate
2 (a) (x2 + 1)2 dx
Calculus 3
Evaluate
SOLVE NUMBER 30
Evaluate x2 dx dy (x + 4y3) dx dy x + 4y dx dy cos(2x + y) dy dx e-3x-4y dy dx