
(Calc 2)
1) Evaluate the given integral using by partis method: S 2xe*dx 2) Evaluate using partial fractions method: S •dx x²-x-6 5x
Evaluate the integral using integration by parts. e4 Sx x? In (x)dx 1 e 4 S x In (x)dx=0 (Type an exact answer.)
Evaluate the integral please
e dx 0. S 1 xV1+(lnln x ) dx 2
Evaluate the given integral using the substitution (or method) indicated. T (5x-6) dx; v = 5x - 6 + C Need Help? Talk to a Tutor MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the given integral using the substitution (or method) indicated. (4x - 2)4 dx shortcut +C Need Help? Talk to a Tutor Evaluate the given integral using the substitution (or method) indicated. / 4eX/6 dx; shortcut +C
Q3-Evaluate the integral: dx Q4-Evaluate the integral: tan x dx (x + 1)
6. Use the method of partial fractions to evaluate the indefinite integral. 8x' + 13x •dx (x + 2) 7. Consider a. Using complete sentences, explain why the integral is improper. b. Evaluate the improper integral to determine its convergence or divergence.
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)
2. Since it is difficult to evaluate the integral / e dx exactly, we will approximate it using Maclaurin 0 polynomials (a) Determine Pa(x), the 4th degree Maclaurin polynomial of the integrand e (b) Obtain an upper bound on the error in the integrand for a in the range 0 S x 1/2, when the integrand is approximated by Pi (r) (c) Find an approximation to the original integral by integrating Pa(x) (d) Obtain an upper bound on the error...
Evaluate the following integral using the trigonometric
substitution method.
zu +9 dx x2
Q3/ Evaluate the following double integral by using Simpson's Rule Method 2 2 3xy) etx dx dy (x3 -2 0 Number interval 2 ? of (7 Marks)
Q3/ Evaluate the following double integral by using Simpson's Rule Method 2 2 3xy) etx dx dy (x3 -2 0 Number interval 2 ? of (7 Marks)