Find the indefinite integral.
$$\int \frac { 2 x ^ { 7 } - 5 x ^ { 4 } + 2 } { x ^ { 7 } } d x$$
A) $2 x + \frac { 5 } { 4 x ^ { 4 } } - \frac { 1 } { 4 x ^ { 8 } } + C$
B) $2 x + \frac { 5 } { 2 } x ^ { 2 } - \frac { 1 } { 3 } x ^ { 6 } + C$
C) $2 x + \frac { 5 } { 4 } x ^ { 4 } - \frac { 1 } { 4 } x ^ { 8 } + C$
D) $2 x + \frac { 5 } { 2 x ^ { 2 } } - \frac { 1 } { 3 x ^ { 6 } } + C$

Question

Quizplus · Accepted Answer

Divide each term in the numerator by $x^7$ to simplify the integral: $\int (2 - \frac{5}{x^3} + \frac{2}{x^7}) dx$. Integrating term by term gives $2x - \frac{5}{2}x^{-2} - \frac{1}{3}x^{-6} + C$, which simplifies to $2x + \frac{5}{2x^2} - \frac{1}{3x^6} + C$.

Find the Indefinite Integral ∫2x7−5x4+2x7dx\int \frac { 2 x ^ { 7 } - 5 x ^ { 4 } + 2 } { x ^ { 7 } } d x∫x72x7−5x4+2​dx

Find the Indefinite Integral $\int \frac { 2 x ^ { 7 } - 5 x ^ { 4 } + 2 } { x ^ { 7 } } d x$