Question

find \\(\int(6x^4 + 3x^7)dx\\) \\(\square\\) + c

Explanation:

Step1: Apply sum rule of integration

$\int(6x^4 + 3x^7)dx = \int6x^4dx + \int3x^7dx$

Step2: Integrate each term using power rule

$\int6x^4dx = 6\times\frac{x^{4+1}}{4+1} = \frac{6}{5}x^5$, $\int3x^7dx = 3\times\frac{x^{7+1}}{7+1} = \frac{3}{8}x^8$

Step3: Combine the results

$\frac{6}{5}x^5 + \frac{3}{8}x^8$

Answer:

$\frac{6}{5}x^5 + \frac{3}{8}x^8$