Question Use the trapezoidal rule with n = 4 steps to estimate the integral. f (x²+6) dx -1 ОА. 65 8. ОВ. 38 3 51 Ос. 4. 51 OD. 2

IMW0A4 The Asker · Calculus

Transcribed Image Text: Use the trapezoidal rule with n = 4 steps to estimate the integral. f (x²+6) dx -1 ОА. 65 8. ОВ. 38 3 51 Ос. 4. 51 OD. 2
More
Transcribed Image Text: Use the trapezoidal rule with n = 4 steps to estimate the integral. f (x²+6) dx -1 ОА. 65 8. ОВ. 38 3 51 Ос. 4. 51 OD. 2
Community Answer
WLE4DC

Integral is int_(-1)^(1)(x^(2)+6)dxestimate integral int_(a)^(b)f(x)dx using trapezoidal Rule with n interuals -{:[f(x)=x^(2)+6],[[a","b]=[-1","1]],[x=4.]:}So, we get -Delta x=(b-a)/(n)=(1-(-1))/(4)=(1+1)/(4)=(1)/(2)Begining from a=-1, and sucussiuly adding Delta x=(1)/(2) to find the points untill we get to x_(n)=b=1.{:[x_(0)=-1","x_(1)=(-1)/(2)","x_(2)=0","x_(3)=(1)/(2)","x_(4)=1],[f(x_(0))=(-1)^(2)+6=7],[f(x_(1))=(25 ... See the full answer