Primitive function

9000150103

Level:

Evaluate the following integral on the interval

(- \frac{π}{2}; \frac{π}{2})

\int (\frac{3}{\cos^{2} x} - 3 e^{x}) d x

3 tg x - 3 e^{x} + c, c \in R

- 3 tg x - 3 e^{x} + c, c \in R

- 3 tg x + 3 e^{x} + c, c \in R

3 tg x + 3 e^{x} + c, c \in R

Level:

Evaluate the following integral on

R

\int (6^{x} - 6 x^{6}) d x

\frac{6^{x}}{\ln 6} - \frac{6 x^{7}}{7} + c, c \in R

6^{x} \ln 6 - 6 x^{7} + c, c \in R

6^{x} \ln 6 - \frac{6 x^{7}}{7} + c, c \in R

\frac{6^{x}}{\ln 6} - 6 x^{7} + c, c \in R

Level:

Evaluate the following integral on the interval

(0; + \infty)

\int (\frac{3}{x} - 3 x^{- 2} + \frac{2}{x^{3}}) d x

3 \ln | x | + \frac{3}{x} - \frac{1}{x^{2}} + c, c \in R

3 \ln | x | - \frac{3}{x} - \frac{1}{x^{2}} + c, c \in R

3 \ln | x | + \frac{3}{x} + \frac{1}{x^{2}} + c, c \in R

3 \ln | x | - \frac{3}{x} + \frac{1}{x^{2}} + c, c \in R

Level:

Evaluate the following integral on

R

\int 9 x^{8} d x

x^{9} + c, c \in R

9 x^{9} + c, c \in R

\frac{x^{9}}{9} + c, c \in R

9 x^{7} + c, c \in R

Level:

Evaluate the following integral on

R

\int 8 \sin x d x

- 8 \cos x + c, c \in R

8 \cos x + c, c \in R

8 \sin x + c, c \in R

- 8 \sin x + c, c \in R

Level:

Evaluate the following integral on

R

\int 9 e^{x} d x

9 e^{x} + c, c \in R

9 - e^{x} + c, c \in R

9 + e^{x} + c, c \in R

- 9 e^{x} + c, c \in R

Level:

Evaluate the following integral on the interval

(0; + \infty)

\int \frac{5}{x} d x

5 \ln | x | + c, c \in R

5 x^{2} + c, c \in R

\frac{\ln | x |}{5} + c, c \in R

\frac{5}{x^{2}} + c, c \in R

Level:

Evaluate the following integral on the interval

(0; \frac{π}{2})

\int \frac{8}{\cos^{2} x} d x

8 tg x + c, c \in R

- 8 cotg x + c, c \in R

8 cotg x + c, c \in R

- 8 tg x + c, c \in R

Level:

Evaluate the following integral on the interval

(0; + \infty)

\int \frac{9}{x^{5}} d x

- \frac{9}{4 x^{4}} + c, c \in R

\frac{9}{x^{6}} + c, c \in R

- \frac{3}{2 x^{6}} + c, c \in R

\frac{9}{x^{4}} + c, c \in R

Level:

Evaluate the following integral on

R

\int 8 \cdot 5^{x} d x

\frac{8 \cdot 5^{x}}{\ln 5} + c, c \in R

\frac{8 \cdot 5^{x}}{\ln x} + c, c \in R

8 \cdot 5^{x} \cdot \ln 5 + c, c \in R

8 \cdot 5^{x} \cdot \ln x + c, c \in R