Question 1 Evaluate the integral. S22*4*3 dx • 115 + 4x375/4.c 0 - 4(5 + 4x3)-3/4.c...
Evaluate a) integral 0 to pi (dx/5-4 cos x) b) integral 0 to infinity (dx/(1+x^2)^3)
4) Evaluate dx (4 – x²) 3/2 5) Evaluate the improper integral ſxe**dx 0 6) Express the repeating decimal 0.123 as a geometric series and then use the sum of that series to express the decimal as the ration of two integers.
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.)
8. Evaluate the indefinite integral: S(5x3 + 2 cos x )dx a. b. S(4x3 – 8x + 7) dx
Please show all workings and steps for question 1: 1. Evaluate the indefinite integral. 3 - a) [(5x2 – 2x) +6x*) dx х b) \ x2 -dx 4x3 + 1 dx 1 + (ex)2
- Evaluate the definite integral. 1:22 4 dx (1) (2) 46 3 26 3 (3) 0 (4) 1
Use a change of variables to evaluate the following indefinite integral. ( (Vx+5) 4 3 dx J2V Determine a change of variables from x to u. Choose the correct answer below. OA. u= (x + 5)^ OB. u= VX +5 OC. Uz OD. u= Write the integral in terms of u. (Vx+5) dx = du 28x Evaluate the integral (Vx+5)* dx=0 2/8 Click to select your answer(s).
(a) Evaluate the integral ſ V1 + 2x dx. 0 1 (b) If f()dx 5 and ) FCD)dz – 3. find i f(z)dr.
Question 1 (1 point) Determine the following definite integral 2 4x3 + 28x5 + 36 dx x2 1 Question 2 (1 point) A particle has velocity function given by v(t) = 64-192. Determine the total distance traveled over the interval [0.7]. Do not include units in your answer. Question 3 (1 point) Suppose g(3) = 5 and g'(3) = 26. Determine the derivative F'(3), where r9(30) F(x) = La Red 4 1 + t2 dt.
need help with these two please 3. Evaluate the definite integrals: a. L2x dx b. 4. Evaluate the definite integral: 5x2(4x3 – 2)* dx $ 5x(4x2 -