Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx
Correct Option:
B
\(∫ [(x^2 + 4x^2 + 1 ) ÷ x^2]dx = ∫ (x^3/x^2)dx + ∫(1/x^2)dx \)
⇒\( ∫ xdx + ∫ 4^{−1} or + ∫ (1/x^2)dx\)
= \( x^2/2 − 4x − 1/x^2 + C \)
⇒\( ∫ xdx + ∫ 4^{−1} or + ∫ (1/x^2)dx\)
= \( x^2/2 − 4x − 1/x^2 + C \)