Evaluate $\int \left( 5 x ^ { 6 } - 9 x + 7 \right) d x$ A) $\frac { 5 x ^ { 7 } } { 7 } - \frac { 9 x ^ { 2 } } { 2 } + C$ B) $\frac { 5 x ^ { 7 } } { 7 } - \frac { 9 x ^ { 2 } } { 2 } + 7 x + C$ C) $30 x ^ { 5 } - 9 + C$ D) 5x⁷ -9x² + 7x + C

Question

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To integrate the given polynomial, apply the power rule of integration to each term: $\int x^n dx = \frac{x^{n+1}}{n+1} + C$. Applying this rule to each term in the polynomial gives $\frac{5x^7}{7} - \frac{9x^2}{2} + 7x + C$.

Evaluate ∫(5x6−9x+7)dx\int \left( 5 x ^ { 6 } - 9 x + 7 \right) d x∫(5x6−9x+7)dx

Evaluate $\int \left( 5 x ^ { 6 } - 9 x + 7 \right) d x$