1. Evaluate the following indefinite integral using the given trigonometric substitutions, = sin e V1 -...
3. Use the trigonometric substitution r = a sin(0) to evaluate the following indefinite integral: da
8. (7 points) Evaluate the indefinite integral using a substitution. State the substitution and show all work to justify your result for credit. dx V1 - 4x2 sin-1(2x)
all of tem (e) sin(30) + cos(20) do 1. Evaluate the indefinite integral. (a) [8x2 – 3x2 + 3+ – 2 dr (b) 1-1 + 7x – 34" da (e) [(3+ + 2)(+ – 2) dt (8) 223/2 - 3/3+ Fadz (n) 23" +22-1 de 2. Solve the initial value problem: g'(x) = 7.76 – 4.23 + 12: g(1) = 24 3. Solve the initial value problem: W'(t) = 6 sin(3t): h() = 6
(1 point) Evaluate the indefinite integral. €2x sin(4x) dx = +C.
QUESTION 3 Evaluate the integral by using multiple substitutions. SV1 1 + sin2 (x-7) sin (x-7) cos (x-7) dx o 3 (1+ sinº x) (1 + sin? x)3/2 + c 3 O AV1 + sin?(x - 7) +C og (1 + sin? (x - 7)) 3/2 + c O (1 + cos2 (x - 7) 3/2 + c
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
Complete the square and find the indefinite integral (Note: using Trigonometric Substitution);
Evaluate the following indefinite integral: e VT -dz C
e) Evaluate y =tan(sin" (x)) by using the definition of trigonometric and inverse trigonometric function. (2 marks)
(1 point) Evaluate the indefinite integral. cos(/z5) Integral NOTE: Enter arctan(x) for tan-1 z, sin(x) for sin .] to enter all necessary, ( and)!! (1 point) Evaluate the indefinite integral. cos(/z5) Integral NOTE: Enter arctan(x) for tan-1 z, sin(x) for sin .] to enter all necessary, ( and)!!