Integrate.

1. \(\displaystyle\int{x^3} \,\text{d}x\)

2. \(\displaystyle\int_{0}^{3}{x^3} \,\text{d}x\)

3. \(\displaystyle\int_{0}^{4}{x^3} \,\text{d}x\)

4. \(\displaystyle\int_{0}^{3}{\sqrt{x}} \,\text{d}x\)

5. \(\displaystyle\int_{\pi/4}^{\pi/4}{\sin{t}} \,\text{d}t\)

6. \(\displaystyle\int_{0}^{4}{e^x} \,\text{d}x\)

An example of an AP Calculus Exam question: Multipole Choice

Integrate.

1. \(\displaystyle\int\frac{1}{1+x^2}\text{d}x\)

2. \(\displaystyle\int_{0}^{0.5}\frac{\text{d}x}{\sqrt{1-x^2}}\)

3. \(\displaystyle\int_{0}^{\sqrt{3}}\frac{6}{1+x^2}\text{d}x\)

Integrate.

1. \(\displaystyle\int{3x^2\sqrt{1+x^3}\text{d}x}\)

2. \(\displaystyle\int{\frac{(\ln x)^2}{x}\text{d}x}\)

Integrate.

1. \(\displaystyle\int{xe^{x^2}}\text{d}x\)

2. \(\displaystyle\int{\frac{\text{d}x}{5-3x}}\)

Integrate.

1. \(\displaystyle\int{3t^2\sin{t^3}\text{d}x}\)

2. \(\displaystyle\int{x^4\sqrt{x^5+3}\text{d}x}\)

3. \(\displaystyle\int{x^3\sqrt{x^5+3}\text{d}x}\)

Integrate.

1. \(\displaystyle\int\frac{\text{d}x}{1+x^2}\)

2. \(\displaystyle\int\frac{x\text{d}x}{1+x^2}\)

3. \(\displaystyle\int\frac{x\text{d}x}{\sqrt{1+x^2}}\)

4. \(\displaystyle\int\frac{x^2\text{d}x}{1+x^2}\)

Integrate \(\displaystyle\int{xe^x\text{d}x}\)

Integrate \(\displaystyle\int{x\sin{x}\,\text{d}x}\)

Integrate \(\displaystyle\int{x^3\ln x}\, \text{d}x\)

Integrate \(\displaystyle\int_0^1{te^{-t}}\, \text{d}t\)

Integrate.

1. \(\displaystyle\int\displaystyle\frac{1}{\sqrt{1-x^2}}\text{d}x\)

2. \(\displaystyle\int\displaystyle\frac{1}{\sqrt{4-x^2}}\text{d}x\)

Integrate \(\displaystyle\int\displaystyle\frac{1}{x^2+9}\text{d}x\)