Evaluate : i. ∫(2 - 5x)(3 + 2x)(1 - x)dx ii. ∫√x(ax^2 + bx + c)dx iii. ∫√x - 3√x^4 + 7/3√x^2 - 6x^x + 1)dx

Question

Evaluate :

i. \(\int(2-5x)(3+2x)(1-x)dx\)

∫(2 - 5x)(3 + 2x)(1 - x)dx

ii. \(\int \sqrt{x}(ax^2+bx+c)dx\)

∫√x(ax² + bx + c)dx

iii. \(\int \sqrt{x}-\sqrt[3]{x^4}+\frac{7}{\sqrt[3]{x^2}}-6x^x+1)dx\)

∫√x - 3√x⁴ + 7/3√x² - 6x^x + 1)dx

Answer 1

i. Given:

∫(2-5x)(3+2x)(1-x)dx

=∫(6-11x-10x² )(1-x) dx

=∫(10 x³+x²-17x+6)dx

ii. Given:

iii. Given: