passpadi

2017

Mathematics

JAMB

Find ∫(x2 + 3x − 5)dx

A.

x3/3 - 3x2/2 - 5x + k

B.

x3/3 - 3x2/2 + 5x + k

C.

x3/3 + 3x2/2 - 5x + k

D.

x3/3 + 3x2/2 + 5x + k

Correct Answer: x3/3 + 3x2/2 - 5x + k

Explanation

∫xndx = xn+1/n+1 ∫dx = x + k where k is constant ∫(x2 + 3x − 5)dx ∫x2 dx + ∫3xdx − ∫5dx (22 + 1)/(2 + 1) + 3x1+1/(1+1) − 5x + k x3/3 + 3x2/2 − 5x + k

∫xndx = xn+1/n+1 ∫dx = x + k where k is constant ∫(x2 + 3x − 5)dx ∫x2 dx + ∫3xdx − ∫5dx (22 + 1)/(2 + 1) + 3x1+1/(1+1) − 5x + k x3/3 + 3x2/2 − 5x + k
passpadi
©2023 Passpadi. All rights reserved.