Can someone please check my work?

Sketch the function fx =2x +3x on the interval [1, 4]. Put in a representative rectangle. Find the exact area under the curve using a limit of the Riemann Sum. * (US ) ( 4 , 44) a = 1 6= 4 4 x = 4 - 1 - 3 n - As lin 2 - 700 2 f( xk ) Ax K=1 height base lin a= 1 XK 6= 4 1 70 4 flatk ( a ) ) ( bra ) x , =2+ 1(2) lin ~ X 2 = 2+2( 3) - n70 5, f / 2 + *( ) K= 1! x3 = 2 +3 (2) lin " 2* = 2 +K(2) - 170 91 2 ( 2 +* *) +3 ( 2+ 10 ) ] ( ) KE lin [ 7 ( 4 + # + 15 ) + 6 + 15 ( = ) - lin - n-700 5 8 + 34 + 25 # + 6 + 28 ( 7 ) lin n 33 Kx - 1 700 42 + 6KR n 1 2 KE lin 33 6 12 2 - n -700 7 2 K = 1 - lin 42 , x+ 32 () (ti ) + 6 ( n) ( nti) ( 2n+ 1 ) 1 - 7 00 . lin 42 + 3 3 ( n n+ 1 ) + ( 1 ) ( 2+1 / 24 + 1 ) - n - 700 2n2 = /42 + 32+2] A= 60.S