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`int ((x^(3)+4x^(2)-3x-2))/((x+2))dx` का मान ज्ञात कीजिए । |
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Answer» `int((x^(3)+4x^(2)-3x-2))/((x+2))dx` `=int{x^(2)+2x-7+(12)/((x+2))}dx` `=intx^(2)dx+2intxdx-7intdx+12int(1)/(x+2)dx` `=(x^(3))/(3)+2*(x^(2))/(2)-7x+12log|x+2|+c` `=(x^(3))/(3)+x^(2)-7x+12log|x+2|+c` |
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