Please like the answer.
SOLUTION :
∫ (x^3 + x^(1/2) - 9 + 1/x) dx
= 1/4 x^4 + 1/(3/2) x^(3/2) - 9x + ln(x) + C
= x^4 / 4 + 2/3 x √x - 9x + ln(x) + C (ANSWER).
∫ (x^2 + 1)^9 * 5x dx
Let x^2 + 1 = u
=> 2x dx = du
=> x dx = 1/2 du
So, given integral = ∫ u^9 * 5/2 du
= u^10 / 10 * 5/2 + C
= u^10 / 4 + C
= (x^2 + 1)^10 / 4 + C (ANSWER).
15. ſrº+5x2+ x3 +5x2 +8x+20 •dx x2+4 16. S 4xv3x + 1dx
. Find each indefinite integral. a) S x3(x4 + 2)20 dx
8. Evaluate the indefinite integral: S(5x3 + 2 cos x )dx a. b. S(4x3 – 8x + 7) dx
5. Evaluate the integral sec" x dr. 6. Evaluate the integral I 2 dx X3 V x2 – 1 >1. 7. Evaluate the integral dc I VAI 8. Evaluate the integral 19 - 22 dc. .x2
In Problems 9-13, find or evaluate the integral. r4 9. -dx 9. (5pts.) In(x-1) 10. ] dx 10. (5pts.) (x-1) sectan 11. de 11. (5pts.) 2 + sece ('sid) ει *p ET x 801 8 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 e ('sids) TI ep (ou1 – 1)so5 | JI TI
Express the limit as a definite integral. lim. Į (4522-52 +9) Axx: [-2, 3] (4x2 - 9 + 9) dx x2 - 9x +9) dx (8x - 9) dx (4x - 9) dx
Evaluate 1) S(285- 783 +5) dx A) Žx6.** +8x+C c) 5x6-7x+ +5x+C B) 6x6.7** +5x+C D) 6x6_*** +5x+C 2) S (16 + ett) di ay + c tett c over the c Find the integral. 3) S (5x - 3)2 dx A) 3x3 - 15x2 +9x+C c) *_x3 - 15x2 +9x +C B) {x2 + 9x + c D) * x3 +9x+C Solve the problem. 4) Suppose that a velocity function is given by v(t) - 81. Find the position...
Can you please solve both of these problems? Evaluate the given integral by changing to polar coordinates. 9(x + y) dA where R is the region that lies to the left of the y-axis between the circles x2 + y2 = 1 and x2 + y2 = 4. , -378 Need Help? Read It Master It Talk to a Tutor -11 points v SCALCET8 15.3.511.XP. Evaluate the given integral by changing to polar coordinates. Il V25 – x2 + y2...
Youtube 6. Find an indefinite integral. x2(x + 2) da 7. Find an indefinite integral. cos²ix dx
Evaluate the integral 1 (8x+3)(x2 + 2x - 1)3 dx Round your answer to one decimal point, if necessary.