Question

FIND∫ x​ x ^5 −x ^3 +2x​ dx

Answer 1

The calculated value of the integral is y = x⁶/6 - x⁴/4 + x² + c

How to evaluate the integral expression

From the question, we have the following parameters that can be used in our computation:

`\int\limits {x^5 - x^3 + 2x} \, dx`

The integral of the functions can be calculated using the first principle which states that

if f'(x) = naxⁿ⁻¹, then f(x) = axⁿ

Using the above as a guide, we have the following:

y = x⁶/6 - x⁴/4 + x² + c

Where c is a constant

Hence, the value of the integral is y = x⁶/6 - x⁴/4 + x² + c