Evaluate the definite integral two ways: first by a V -substitution in the definite integral and...
In Problems 14-18, evaluate the given definite or indefinite integral, using u-substitution if appropriate. (12 points each) x + 3x -4 dx r? 14. 15. S (x+12 +2x - 3)dx
Use substitution to evaluate the definite integral given below. -- tan* (3*) sec* (33°) de (Enter an exact answer.) Provide your answer below: S. - x tan* (3x)secº ( 3x?) ck=
1. Use integration by parts to evaluate the integral: ∫ 6z cos(5z) dz Use integration by parts to evaluate the definite integral. 5t2 In tdt Use integration by parts to evaluate the definite integral: 5se3ds J0.2 Preview Report answer accurate to 3 decimal places. A particle that moves along a straight line has velocity v(t)e3 meters per second after t seconds. How many meters will it travel during the first t seconds (from time-0 to time-t)? 2-3t Evaluate the indefinite...
For each indefinite integral, evaluate the integral. For each definite integral, evaluate the integral or show that it is divergent. ******Please try not to use U-sub, I do not understand how the online step by step calculators solve using 4. a and b 8+2x2 r(arctan(x))dx 8+2x2 r(arctan(x))dx
Use the Fundamental Theorem to evaluate the definite integral exactly. ſ (18x? +7) dx Enter the exact answer. ſ (18x? + 7) dx =
4 Evaluate the definite integral 4x dx et
Leta and b be constants. Evaluate the definite integral by using integration by substitution Sx².ex® dx You must show your substitution and your work, using the Fundamental Theorem of Calculus to receive credit. Simplify your answer,
Evaluate the following indefinite or definite integrals using substitution. SHOW EACH STEP on the answer sheets. 16. Sa com a dx u=__ du= 17. 62 e 2 dx u=- du=
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2. 3 dx 2 (Type an exact answer.)