Evaluate : i. ∫(6x^5 - 2/x^4 - 7x + 3/x - 5 + 4e^x + 7^x)dx ii. ∫(8 - x + 2x^3 - 6/x^3 + 2x^-5 + 5x^-1)dx iii. ∫(x/a + a/x + x^a + a^x + ax)dx

Question

Evaluate :

i. \(\int(6x^5-\frac{2}{x^4}-7x+\frac{3}{x}-5+4e^x+7^x)dx\)

∫(6x⁵ - 2/x⁴ - 7x + 3/x - 5 + 4e^x + 7^x)dx 

ii. \(\int(8-x+2x^3-\frac{6}{x^3}+2x^{-5}+5x^{-1})dx\)

∫(8 - x + 2x³ - 6/x³ + 2x^-5 + 5x^-1)dx

iii. \(\int(\frac{x}{a}+\frac{a}{x}+x^a+a^x+ax)dx\) 

∫(x/a + a/x + x^a + a^x + ax)dx

Answer 1

i Given:

ii. Given:

iii. Given: