E v a l u a t e space space space space integral subscript 1 superscript 3 left parenthesis 2 x squared plus space 5 x right parenthesis space d x space

Asked by Lochana Jayachandran | 5th Oct, 2014, 07:53: PM

Expert Answer:

C o n s i d e r space I equals integral subscript 1 superscript 3 open parentheses 2 x squared plus 5 x close parentheses d x I equals integral subscript 1 superscript 3 2 x squared d x space plus integral subscript 1 superscript 3 5 x d x rightwards double arrow I equals 2 open square brackets x cubed over 3 close square brackets subscript 1 superscript 3 plus 5 open square brackets x squared over 2 close square brackets subscript 1 superscript 3 I equals 2 over 3 open square brackets 3 cubed minus 1 cubed close square brackets plus 5 over 2 open square brackets 3 squared minus 1 squared close square brackets equals 2 over 3 open square brackets 27 minus 1 close square brackets plus 5 over 2 open square brackets 9 minus 1 close square brackets equals 2 over 3 cross times 26 plus 5 over 2 cross times 8 equals 52 over 3 plus 20 equals 72 over 3

Answered by Vimala Ramamurthy | 6th Oct, 2014, 10:15: AM