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Mathematics
UTME / JAMB 2019
Calculus
Solution
Integrate \(\int_{-1} ^{2} (2x^2 + x) \mathrm {d} x\)
A
\(4\frac{1}{2}\)
B
\(3\frac{1}{2}\)
C
\(7\frac{1}{2}\)
D
\(5\frac{1}{4}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2018
Calculus
Solution
Integrate the expression 6x\(^2\) - 2x + 1
A
3x\(^3\) - 2x\(^2\) + x + c
B
2x\(^3\) - x\(^2\) + x + c
C
2x\(^3\) – 3x\(^2\) + c
D
x\(^3\) + x\(^2\) – x + c
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2016
Calculus
Solution
Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x
A
\(\frac{2x^3}{3}\) - 2x + k
B
x3 + 2x + k
C
\(\frac{2x^3}{3}\) + 2x + k
D
x3 - 2x + k
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2016
Calculus
Solution
Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)
A
2( \(\frac{1}{3}\)X + 6
B
\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
C
\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)2
D
\(\frac{1}{3}\) ( \(\frac{1}{3}\)X + 6)2
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2015
Calculus
Solution
Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx
A
\( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)
B
\( \frac{5x^4}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)
C
\( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)
D
\( \frac{2x^2}{3} + \frac{x}{5} - C \)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2013
Calculus
Solution
Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)
A
\(2x^{2} - \frac{1}{x} + k\)
B
\(-\frac{1}{2x^{2}} - \frac{1}{x} + k\)
C
\(-\frac{x^{2}}{2} - \frac{1}{x} + k\)
D
\(x^{2} - \frac{1}{x} + k\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2012
Calculus
Solution
Evaluate \(\int^2_1(x^2 - 4x)dx\)
A
\(\frac{11}{3}\)
B
\(\frac{3}{11}\)
C
\(-\frac{3}{11}\)
D
\(-\frac{11}{3}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2011
Calculus
Solution
The derivatives of (2x + 1)(3x + 1) is
A
12x + 1
B
6x + 5
C
6x + 1
D
12x + 5
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2008
Calculus
Solution
Find the derivative of \(y=\frac{x^7 - x^5}{x^4}\)
A
x(x2-1)
B
3x(x2-1)
C
3x2-1
D
7x6-5x4
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2008
Calculus
Solution
Find the minimum value of the function y = x(1+x)
A
-1/4
B
-1/2
C
1/4
D
1/2
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2007
Calculus
Solution
Integrate \(\frac{x^2 -\sqrt{x}}{x}\) with respect to x
A
\(\frac{x^2}{2}-2\sqrt{x}+K\)
B
\(\frac{2(x^2 - x)}{3x}+K\)
C
\(\frac{x^2}{2}-\sqrt{x}+K\)
D
\(\frac{(x^2 - x)}{3x}+K\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2006
Calculus
Solution
Differentiate (x\(^2\) - \(\frac{1}{x}\))\(^2\) with respect to x
A
4x3 - 4x - 2/x
B
4x3 - 2 + 2/x3
C
4x3 - 2 - 2/x3
D
4x3 - 3x + 2/x
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2005
Calculus
Solution
If y = (1 - 2x)\(^3\), find the value of dy/dx at x = -1
A
57
B
27
C
-6
D
-54
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2005
Calculus
Solution
The maximum value of the function
f(x) = 2 + x - x\(^2\) is
A
\(\frac{9}{4}\)
B
\(\frac{7}{4}\)
C
\(\frac{3}{2}\)
D
\(\frac{1}{2}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2004
Calculus
Solution
Find the derivatives of (2 + 3x)(1 - x) with respect to x
A
6
B
-3
C
1 - 6x
D
6x - 1
medium Difficulty
Study Solution