Question

10 principales fórmulas que se utilizan en la integral por sustitución trigonométrica​

Answer 1

Respuesta:

Explicación paso a paso:\displaystyle\int sen \ x \ dx = -cos \ x + C

2\displaystyle\int cos \ x \ dx = sen \ x + C

3\displaystyle\int sen \ u \cdot u' \ dx = -cos \ u + C

4\displaystyle\int cos \ u \cdot u' \ dx = sen \ u + C

5\displaystyle \int \frac{1}{cos^{2}x} dx =\int sec^{2}x \ dx= \int (1+tg^{2}x)dx=tg \ x + C

6\displaystyle \int \frac{u'}{cos^{2}u} dx =\int sec^{2}u \cdot u' \ dx= \int (1+tg^{2}u)\cdot u'dx=tg \ u + C

7\displaystyle \int \frac{1}{sen^{2}x} \cdot dx =\int cosec^{2}x \ dx= \int (1+cotg^{2}x)dx=-cotg \ x + C

8\displaystyle \int \frac{u'}{sen^{2}u}dx =\int cosec^{2}u \cdot u' dx= \int (1+cotg^{2}u)\cdot u'dx=-cotg \ u + C