Leta and b be constants. Evaluate the definite integral by using integration by substitution Sx².ex® dx...
please help with number 15 15. Given the following definite integral, lo x + x dx a. Evaluate the integral using limits, showing all steps: b. Confirm your result by using the rules of integration and the Fundamental Theorem of Calculus: TUUKU U uit alta vi tile region bounded by the following equations (Note that this is an "area between functions" question, and not a question of finding the definite integral): y = 5x - 1 y = 0 x...
Evaluate integral. What technique of integration is being used? Sx ex dx
help please Evaluate the definite integral using the Fundamental Theorem of Calculus. (1+ (1 + 14х5) dx Use The Fundamental Theorem of Calculus and the antiderivative found in Step 2 to evaluate the definite integral. fo* (2 + 14x5) dx = = (x+3x0916 (1+](O* )-( O*+O) “) 10 3
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2. 3 dx 2 (Type an exact answer.)
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 1 2 3 dx 1 2 3 dx √1-x² (Type an exact answer.) S 11
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 6 dx S √1-x² 0 V3 2 6 dx 5 0 V1 - (Type an exact answer.)
Evaluate the given definite integral using the fundamental theorem of calculus. 2 x2 18) (x + 1)3 dx ) 77 77 77 A) 77 972 B) 972 D) 324 324
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.)
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 S (5x2 +7) dx -3 2 S (5x2 +7) dx = -3 (Type an exact answer.)
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.