Let - .12 Let /= -dx. Select all that apply , x³-343 Your answer: O The integral is improper of Type I. 49 - 49 343 12 343x 12 3 .12 3 3 dx D x3 – 343 x² + 7x + 49 X-7 O The integral is convergent. 49 49 + 14 112 arctan 3/3 t-7 112 arctan 3/3 38 |= lim In 1+7+ 3 277 |t²+7t + 49 7/3 7/3 49 95 + In 277 49 arctan V3 31 | = 7/3 49 (2t +7 7/3 t-7 49 -arctan V3 3 - lim In 1+7+ (Vt?+7t + 49 O The integral is improper of Type II. O The improper integral is divergent.

Example 8 Video Example) 5 If it is known that € [³F(X). f(x) dx = 12 and d Solution By the property of integrals that states we have the following. F(X) f(x) dx + SO 5 5 ["³f(x) dx = [³ f(x) dx - [*^f(x) dx = 12 - = Need Help? Read It [ ^F(x) dx = [ºf(x) dx + [ºf(x) dx = [ºf(x) dx, 5 - [³ f(x) dx = √³F(x) f(x) dx, ³ [ºf(x) dx. f(x) dx = 10, find

/2 5 Evaluate the integral sin" xdx Please select file(s) Select file(s)