Question

Find anti derivative of the function 3x^2+4x^3 with.Respect to.X

Answer 1

Answer:

${x}^{3} + {x}^{4} + c$

follow the Attachment for the steps

hope this was helpful

Answer 2

The anti-derivative of the function is  $x^{3} + x^{4} + C$.

Given: The function 3x² + 4x³

To Find: The anti-derivative of the function 3x² + 4x³ with respect to x

Solution:

• The anti-derivative of a function means the amount of area under the curve so far.
• The indefinite integral of a function is generally known as the anti-derivative of a function

We are required to find the anti-derivative of a function 3x² + 4x³, So we will find the integration of the function.

  ∴    $\int\limits {(3x^2+4x^3) } \, dx$

 ⇒ $\int\limits{3x^2} \, dx + \int\limits {4x^3} \, dx$

 ⇒ $3x^{3 }/3 + 4x^{4} /4$ + C               [ C = constant ]

 ⇒ $x^{3} + x^{4} + C$

Hence, the anti-derivative of the function is  $x^{3} + x^{4} + C$

#SPJ3