Question

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a. Integral (x+5)²dx
b. Integral (x+3) (x-4)² dx
c. Integral x³(x²-2) dx
d. Integral ((x²-3x)/2x²))² dx

Answer 1

Verified answer

A. Int x² + 10x + 25 dx
= 1/3 x^3 + 5x² + 25x

b. Int (x+3)(x²-8x+16) dx
= Int. x^3 -8x² + 16x - 3x² - 24x +48 dx
= Int x^3 -11x² - 8x + 48 dx
= 1/4 x^4 - 11/3 x^3 - 4x² + 48x

c.Int.x³(x²-2) dx
= x^5 - 2x^3
= 1/6 x^6 - 1/2 x^4

d.Int.((x²-3x)/2x²))² dx
= Int. (1/2 - (3x^-1) /2)² dx
= Int ( 1/4 - (3x^-1)/2 + 9x^-2/4 ) dx
= 1/4 x - 3/2 + (9x^-1)/3