MSA Education BD

 

Integration Quiz

1. What is the integral of $\int 4x \, dx$?

A) $2x^2 + C$ B) $4x^2 + C$ C) $2x^2 + 4x + C$ D) $x^2 + C$

2. Evaluate $\int \cos(x) \, dx$.

A) $\sin(x) + C$ B) $-\sin(x) + C$ C) $\cos(x) + C$ D) $-\cos(x) + C$

3. Find the integral $\int \frac{3}{x^2} \, dx$.

A) $-\frac{3}{x} + C$ B) $\frac{3}{x} + C$ C) $-\frac{3}{x^2} + C$ D) $\frac{3x}{2} + C$

4. What is the integral of $\int \sqrt{x} \, dx$?

A) $\frac{2}{3} x^{3/2} + C$ B) $\frac{1}{2} x^{2} + C$ C) $\frac{2}{3} x^{2} + C$ D) $\frac{1}{2} x^{3/2} + C$

5. Evaluate $\int x^3 \, dx$.

A) $\frac{x^4}{4} + C$ B) $\frac{x^3}{3} + C$ C) $\frac{x^4}{3} + C$ D) $x^4 + C$

6. Find the integral $\int e^{2x} \, dx$.

A) $\frac{e^{2x}}{2} + C$ B) $\frac{e^{2x}}{2}$ C) $e^{2x} + C$ D) $\frac{e^{2x}}{4} + C$

7. What is the integral of $\int \tan(x) \, dx$?

A) $-\ln|\cos(x)| + C$ B) $\ln|\sin(x)| + C$ C) $\ln|\tan(x)| + C$ D) $-\ln|\sin(x)| + C$

8. Evaluate $\int \frac{1}{x^2 + 4} \, dx$.

A) $\frac{1}{2} \arctan\left(\frac{x}{2}\right) + C$ B) $\frac{1}{2} \ln|x^2 + 4| + C$ C) $\frac{1}{2} \arctan(x) + C$ D) $\frac{1}{4} \arctan(x) + C$

9. Find the integral $\int \sin^2(x) \, dx$.

A) $\frac{x}{2} - \frac{\sin(2x)}{4} + C$ B) $\frac{x}{2} + \frac{\sin(2x)}{4} + C$ C) $\frac{x}{2} - \frac{\sin(x)}{2} + C$ D) $\frac{x}{2} + \frac{\sin(x)}{2} + C$

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