3was my.mun.ca X with A2_Written Assignment_MATH X + -> C online.mun.ca/d21/le/content/526584/viewContent/4748726/View Update Gmail YouTube Maps Translate Webassign Fixing Square Roots, Other Fractional Powers (e.g. )-=(-)1/3) or Other Powers Choose u = inside of root or bracket as shown in Q.# 8(a), change any roots to powers & then expand. Q.#8 Please evaluate the following integrals. Final Answer a) [x 1-4x dx u= 1 -4x du/ (-4) = dx x = (1-u) /4 = 1 1-u 1/2 du 4 4 IJ (1-u) ull2 du , now expand ! Final Answer b ) [ x ( 3 x + 8 ) " dx3was my.mun.ca X will A2_Written Assignment_MATH X + -> C online.mun.ca/d21/le/content/526584/viewContent/4748726/View Update Gmail YouTube Maps Translate Webassign TOPIC 2-2: Simple Subs for Definite Integrals - later in course TOPIC 2-3(a): Substitution with Inverse Trig F(x)s Q.#9 Please evaluate the following integrals. Final Answer (arctan x)2 a) dx 1+ x2 Final Answer In(arcsin x) b ) dx (arcsin x) V1-x25wash my.mun.ca X will A2_Written Assignment_MATH X + -> C online.mun.ca/d21/le/content/526584/viewContent/4748726/View Update Gmail YouTube Maps Translate Webassign X C ) dx 1 4 Final Answer 2 d) dx 19 - x25wash my.mun.ca X wil A2_Written Assignment_MATH X + -> C online.mun.ca/d21/le/content/526584/viewContent/4748726/View Update Gmail YouTube % Maps Translate Webassign 5 e) dx 25 + 16x Final Answer 2 x2 -2x+5 dx Hint: First, complete the square in denominator !5wash my.mun.ca X wil A2_Written Assignment_MATH X + -> C online.mun.ca/d21/le/content/526584/viewContent/4748726/View Update Gmail YouTube % Maps Translate Webassign 5 e) dx 25 + 16x Final Answer 2 x2 -2x+5 dx Hint: First, complete the square in denominator !3was my.mun.ca X with A2_Written Assignment_MATH X + -> C online.mun.ca/d21/le/content/526584/viewContent/4748726/View Update Gmail YouTube Maps Translate Webassign TOPIC 2-3(b): Substitution with Exponential F(x)s Q.# 10 Please evaluate the following integrals. You are free to use linear trick where applies if desired. Final Answer a) (8x-4e(5-2x) ) dx Final Answer b) sec2 x etanx dx5wow my.mun.ca X with A2_Written Assignment_MATH X + -> C online.mun.ca/d21/le/content/526584/viewContent/4748726/View Update Gmail YouTube % Maps Translate "Webassign Final Answer c) Je've+l at Final Answer d) ex + 2 ex dx