Definite integral

9000150403

Level:

Evaluate the following definite integral.

\int_{- 2}^{0} e^{x} d x

1 - \frac{1}{e^{2}}

1 + \frac{1}{e^{2}}

\frac{1}{e^{2}}

- \frac{1}{e^{2}}

Level:

Evaluate the following definite integral.

\int_{2}^{6} \frac{2}{x} d x

\ln 9

\ln 2

\ln 3

2 \ln 6

Level:

Evaluate the following definite integral.

\int_{1}^{2} 7^{x} d x

\frac{42}{\ln 7}

49 \ln 7

42

42 \ln 7

Level:

Evaluate the following definite integral.

\int_{0}^{\frac{π}{4}} \frac{2}{\cos^{2} x} d x

2

0

4

π

Level:

Evaluate the following definite integral.

\int_{- 1}^{3} \frac{1}{2 x + 3} d x

\ln 3

\ln 1

\ln 9

2 \ln 9

Level:

Evaluate the following definite integral.

\int_{- 3}^{2} \frac{x}{x^{2} + 3} d x

\frac{1}{2} \ln \frac{7}{12}

2 \ln \frac{12}{7}

2 \ln \frac{7}{12}

\frac{1}{2} \ln \frac{12}{7}