Question: ( intleft(5 x^{2}-14 ight) cos (pi x) d x= ) ( begin{array}{l}frac{1}{pi}left(5 x^{2}-14 ight) sin (pi x)-frac{10}{pi^{2}} x cos (pi x)+frac{10}{pi^{3}} sin (pi x)+mathrm{c}
\\( \\int\\left(5 x^{2}-14\ ight) \\cos (\\pi x) d x= \\) \\( \\begin{array}{l}\\frac{1}{\\pi}\\left(5 x^{2}-14\ ight) \\sin (\\pi x)-\\frac{10}{\\pi^{2}} x \\cos (\\pi x)+\\frac{10}{\\pi^{3}} \\sin (\\pi x)+\\mathrm{c} \\\\ \\frac{1}{\\pi}\\left(5 x^{2}-14\ ight) \\sin (\\pi x)+\\frac{10}{\\pi^{2}} x \\cos (\\pi x)-\\frac{10}{\\pi^{3}} \\sin (\\pi x)+\\mathrm{c} \\\\ \\frac{1}{\\pi}\\left(5 x^{2}-14\ ight) \\cos (\\pi x)+\\frac{10}{\\pi^{2}} x \\sin (\\pi x)-\\frac{10}{\\pi^{3}} \\cos (\\pi x)+\\mathrm{c} \\\\ \\frac{1}{\\pi}\\left(5 x^{2}-14\ ight) \\cos (\\pi x)-\\frac{10}{\\pi^{2}} x \\sin (\\pi x)+\\frac{10}{\\pi^{3}} \\cos (\\pi x)+\\mathrm{c}\\end{array} \\)
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts