Each of the following integrals requires only a simple substitution to evaluate

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Each of the following integrals requires only a simple substitution to evaluate. State u, du and give the formula #and the formula that would be used to integrate the function from our DL190FormulaSheet Basic Integration Rules: tan(4x)sec' (4x)dx ?) du = u = Formula # and Formula: ?) du u = Vx1 Formula # and Formula: -dx du = c) u = x1 Formula #and Formula: Jese (3x)dx d) du = Formula #and Formula:
Basic Integration Rules Jkf(u)du = k[f(uJdu JF(u)g(u)du Judu g(udu 1 2. + . du 3D ku + ? 3. 4. 3D ? + ? du - In/u+C n+1 ?" +C; ?+—1 ?+1 du 6. 'du 5. 7 'du = e" + C 1 +? - In a fa"du= a" 8 + C In a 10 9. sin u du cos ? du — sin u + C =-cosu C = - In|cos u4 esc u du ncscu+cot u cotu du nsin u 12 11 +C C tan u du J nu+C secu du Insec i 14 13. C u + tan 15. sec2 udu 2 16 CsC* ? du — — cot u + ? = tan u + C 18 17. csc ? cot u d? — — csc? + ? sec u tan u du = secu + C du du 1 arctan- + C 20 19 C = arcsin _ a u a a