Question

By Simpson's rule, the value of ${\int }_{-3}^3{x}^{4}dy$ by taking 6 sub-intervals, is

• A. $98$
• B. $90$
• C. $80$
• D. $70$

Answer 1

The correct option is A $98$

Here, h=3−(−3)6=1h=3−(−3)6=1
By Simpson's rule,
∫3−3x4dx=13[(81+81)+4(16+0+16)+2(1+1)]∫−33x4dx=13[(81+81)+4(16+0+16)+2(1+1)]
=13[162+128+4]=13[162+128+4]
=2943=2943
=98

Here, h=3−(−3)6=1h=3−(−3)6=1
By Simpson's rule,
∫3−3x4dx=13[(81+81)+4(16+0+16)+2(1+1)]∫−33x4dx=13[(81+81)+4(16+0+16)+2(1+1)]
=13[162+128+4]=13[162+128+4]
=2943=2943
=98