Question

Find the antiderivative of
$3 {x}^{2} + 4 {x}^{3}$
​

Answer 1

Answer:

∫3x² + ∫4x³ = x³ + x⁴

Explanation:

Have to find the anti-derivative of 3x²+4x³

⇒ ∫3x² + ∫4x³

⇒ 3∫x² + 4∫x³

• ∫x² = x³/3

• ∫x³ = x⁴/4

⇒ ∫3x² + ∫4x³ = 3(x³/3) + 4(x⁴/4)

⇒ ∫3x² + ∫4x³ = x³ + x⁴