RATE <3 Q10 Determine the integral 1041 6t5 dt. to +1 6+5 dt to +1 (Use...
Determine the following indefinite integral. Check your work by differentiation. 6 4% dx= | | (Use C as the arbitrary constant.) Determine the following indefinite integral. Check your work by differentiation. 6 4% dx= | | (Use C as the arbitrary constant.)
1. (2 points) Evaluate the integral below. Use a capital letter C to denote an arbitrary constant. 2x+4 512x+1)(2-1) dx Answer(s) submitted: • 21n (abs (x-1))-ln (abs (2x-1)) +C (incorrect) 2. (2 points) Evaluate the definite integral. r3 - 2x + 5 dx= x² – 3x+2 Answer(s) submitted: (incorrect) 3. (2 points) Evaluate the definite integral. 3y2 – 3y +6 y(y + 1)(y-3) Answer(s) submitted: Si y07136+3 dy = Generated by © Web Work, http://webwork.maa.org. Mathematical Association of America
Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt u = 1 - 2t (1 - 20) [-/1 Points] DETAILS SCALC8 4.5.512.XP. Evaluate the definite integral. 5 V1 + 3x dx Love
1 Evaluate the integral 6 -sin ل dt. 6 T6 -sin dt = | 한
Evaluate the integral. dt 11 (1+) 5:2 (1+)? dt =D
Find the general solution of the differential equation: dy/dt=(-y/t)+6. Use lower case c for constant in answer. y(t)=
cos((+dt. (5 pts.) 1 3. Evaluate the integral 8(t)dt. (5 pts.) 4. Evaluate the sum Σ 23]n]. (4 pts.) 2 +2 +2 + 2+2 4 2
Part 3: The derivative of a definite integral and the chain rule Suppose dt. Use the Fundamental of Theorem of Calculus to calculate 9 +t / Suppose F(x) = f* (510) dt. Use the Fundamental of Theorem of Calculus to calculate on (F(x?). (F(x)) = C
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 3 dt t 1 2 dt = t 1 (Type an exact answer.)
6. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 7.1.005. Evaluate the integral. (Use C for the constant of integration.) te - 30 dt (3x + 1)e-3x + c hos 9