2) Using trial and error, evaluate the following anti-derivatives. Check your answers (2x20 marks): a) 2 sin 2x dx 2) Using trial and error, evaluate the following anti-derivatives. Check your a...
Determine the following anti-derivatives: Problem 1: S (2.² + 6x - 5) dx Problem 2: S(cos(x) - sin(x)) do Problem 3: 5 (v + + + 2 **) do Problem 4: S (3e" + ) dx
need only the answer Evaluate the integral by using multiple substitutions. dx 313x2 – 2) sin(x3 2x) cos(x3 - 2x) O 2 sin(x3 - 2x) + C 15 sin4 (x3 - 2x) + c o cos6 (3x2)+C o į sin® (x3 - 2x)+ c
Problem 6 Evaluate: dx 16 - 22 Hints: sin²x = 1 - cos(2.0) and sin(2x) = 2 sin c cos r. 2 (Show all details.)
Evaluate the following integral. 1/2 7 sin ?x -dx 1 + cos x 0 1/2 7 sin 2x dx = V1 + cos x 0 Score: 0 of 1 pt 1 of 10 (0 complete) HW Score: 0%, 0 of 10 pts 8.7.1 A Question Help The integral in this exercise converges. Evaluate the integral without using a table. dx x +49 0 dx X2 +49 (Type an exact answer, using a as needed.) 0
please help Evaluate the integral. 2 (2x + 2)dx 3 2 Sizx+2)dx= (2x + 2)dx = (Simplify your answer.) 3
Use symmetry to evaluate the following integral. /2 (cos 2x + cosxsin x - 2 sinxº) dx -1/2 1/2 (cos 2x + cos x sinx-2 sin x) dx = (Simplify your answer.) -1/2
Evaluate (T/4 sinº (2x) cos (2x) dx. 17/12 Round your answer to 2 decimal places if necessary. For what value of kis the area under the graph of y = 3x2 + 4kx between x = 0 and x = 1, equal to 3? Round your answer to 2 decimal places if necessary. Evaluate 1 x (x + 2x + 1) dx. Jo Evaluate cos (T) da. Cvaluate 5 (23 + 4) dx.
find the indefinite integral and check the result by differentiation Analytic Geometry & Calculus II, Final Examination Part I, Spring costx)swLx) b) J sin 2x cos 2x dx 2 (-cos (4)(Hx) check. (x-5)=2 xs_6x-20 dx Analytic Geometry & Calculus II, Final Examination Part I, Spring costx)swLx) b) J sin 2x cos 2x dx 2 (-cos (4)(Hx) check. (x-5)=2 xs_6x-20 dx
#2 #3 #4 please snf thank you :) Evaluate the following anti derivatives (Indefinite integral) 1)「(2x3-5x + 7)dr 3 x ax Evaluate the following definite integrals: 01 2Sec2xdc Evaluate the following anti derivatives (Indefinite integral) 1)「(2x3-5x + 7)dr 3 x ax Evaluate the following definite integrals: 01 2Sec2xdc
1. a) Substitute u = sin(x) to evaluate sin^2(x) cos^3(x) dx. [trig identity sin2(x)+cos2(x) = 1]. b) Find the antiderivatives: i) sin(2x) dx ii) (cos(4x)+3x^2) dx