UTME/SSCE Mathematics Practice Tests – Integration

Hello and Welcome to Mathematics Practice Tests - Integration

1. You are to attempt 5 random objectives questions ONLY.
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Find the area bounded by the curves y 4 — x2 and y = 2x + 1

A. $10\frac{1}{3}$ sq. units.     B. $10\frac{2}{3}$ sq. units.    C. $20\frac{1}{3}$ sq. units.     D. $20\frac{2}{3}$ sq. units.

Integrate $\left&space;(&space;x&space;-&space;\frac{1}{x}&space;\right&space;)^{2}$ with respect to x.

A. $\frac{1}{3}\left&space;(&space;x&space;-&space;\frac{1}{x}&space;\right&space;)^{3}&space;+&space;C$

B. $\frac{x^{3}}{3}&space;-&space;x&space;-&space;\frac{1}{x^{3}}&space;+&space;C$

C. $\frac{x^{3}}{3}&space;-&space;2x&space;+&space;\frac{1}{x^{3}}&space;+&space;C$

D. $\frac{x^{3}}{3}&space;-&space;2x&space;-&space;\frac{1}{x}&space;+&space;C$

Find the value of $\int_{0}^{\pi&space;}\frac{cos^{2}\theta&space;-1}{sin^{2}\theta&space;}d\theta$

A. π     B. $\frac{\pi&space;}{2}$     C. $\frac{-\pi&space;}{2}$     D. - π

Find the area bounded by the line y = 4x, the x axis, and the ordinates x = 0 and x = 5.

A. 30 sq units    B. 40 sq units    C. 50 sq units    D. 60 sq units

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