Question Type 1: Integrating a polynomial without boundary conditions Exercises

Evaluate $\int(12x^8 - 4x^4 + 9x^2 - 3)\,dx$.

First expand and then integrate: $\int(3x^3 + 2x^2)(x + 1)\,dx$.

Find the indefinite integral of $9x^4 + 16x^3 + 1$.

Compute $\displaystyle\int(2x^6 - 3x^3 + 4)\,dx$. [4 marks]

Evaluate the indefinite integral of $7x^5 + x^3 - 4x$.

Evaluate $\int(x^7 - x^2 + 2x - 8)\,dx$.

Evaluate the indefinite integral of $15x^9 - 6x^5 + x^2 - 7$.

Find the indefinite integral of $5x^3 + 8x^2 + 9x + 3$.

Find $\int(0.5x^3 - 2x^2 + 4x - 1)\,\mathrm{d}x$.

Find $\int(-3x^2 + 5x - 1)\,dx$.

Find $\displaystyle\int(-5x^5 + 3x^2 - 7x + 2)\,dx$.

Compute $\displaystyle\int(4x^4 - 2x + 6)\,dx$.