Find ∫ (2x^5 - 1/(4x^3)-5) dx. giving each term in its simplest form.

with integration you need to increase the power and divide through by the new power for each term in the equation.2x5 goes to 2x6/6 = x6/3-1/(4x3) is equal to -x-3/4 which then goes to -x-2/4/-2 = x-2/8 = 1/8x2-5 goes to -5xwith integration a constant is also added to the end. this is due to the constant disappeareing during differentiation which is the reverse of integration.so the final solution is :x6/3 + 1/8x2 - 5x + c

Answered by Kieran Y. Maths tutor

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