Calcula las siguientes integrales y verifica que los resultados sean los indicados: 1. Sen x $dx=-cosx+C$ 2. Sen $5xdx=-\dfrac {7} {25}cos$ 5x + C 3. Sen (7x+1) dx = $\dfrac {1} {7}cos\left(7x+1\right)+C$ 4. 90 Cos $\left(\dfrac {30} {7}x+20\right)dx=21sen\left(\dfrac {30} {7}x+20\right)+C$ 5. $\int 12cosx+5$ Sen $x=12senx-5cosx+C$ 6. S9tan $\left(3+9x\right)dx=ln|sec\left(3+9x\right)|+C$ 7. Stan 3x $dx=\dfrac {1} {3}lnsec3x+c$ 8. 5cot $\left(5x-3\right)dx=ln|sen\left(5x-3\right)|+C$ $n\left(10x-6\right)+C$ 9. $\int cot\left(10x-6\right)$ dx = %3D I10 n sen(10x $10.\int 14cot\left(7x+21\right)$ $dx=2lnsen\left(7x+21\right)+C$ $11.\int sec\left(-x\right)dx=-ln/tan\left(-x\right)+sec\left(-x\right)/$ +c $an\left(\dfrac {x} {2}\right)+sec\left(\dfrac {x} {2}\right)/+c$ sec ½x $dx=\dfrac {1} {2}ln/tan$ 13. $\int xcsc\left(3x^{2}\right)dx=\dfrac {1} {6}ln|csc3x^{2}-cot$ 3x²| + C 14. $\int csc\left(9x\right)dx=\dfrac {1} {9}ln|csc9x-cot9x|+C$

Calcula las siguientes integrales y verifica que los resultados sean los indicados: 1. Sen x dx $=-Cosx+C$ 2. Sen 5x dx = -. 25 Cos 5x + C 3./ Sen $\left(7x+1\right)dx=$ $-\dfrac {1} {7}cos\left(7x+1\right)+C\right)$ 21Sen $\left(\dfrac {30} {7}x+20\right)+C$ 4. 90 Cos $\left(\dfrac {30} {7}x+20\right)dx=21S$ 5. 12 Cos x + 5 Sen $nx=12senx-5cosx+C$ 6. S9tan $\left(3+9x\right)dx=ln|sec\left(3+9x\right)|+C$ 7. $\int tan3x$ $dx=\dfrac {1} {3}lnsec3x+c$ 8. S 5cot (5x - 3) $dx=ln|sen\left(5x-3\right)|+C$ $n\left(10x-6\right)+C$ 9. S $ot\left(10x-6\right)$ $dx=\dfrac {1} {10}lns$ sen(10x 10. $\int 14cot\left(7x+21\right)$ $dx=2lnsen\left(7x+21\right)+C$ $11.\int sec\left(-x\right)dx=-ln/tan\left(-x\right)+sec\left(-x\right)/+c$ 12. Í sec ½x $dx=\dfrac {1} {2}ln/tan\left(\dfrac {x} {2}\right)+sec\left(\dfrac {x} {2}\right)/+c$ $13.\int xcsc\left(3x^{2}\right)dx=\dfrac {1} {6}ln|csc3x^{2}-cot3x^{2}|+c$ $14.\int csc\left(9x\right)dx=\dfrac {1} {9}ln|csc9x-cot9x|+C$

$7$ $\int tan3x$ $dx=\dfrac {1} {3}lnsec3x+c$ $8$ $\int 5cot\left(5x-3\right)dx=ln|sen\left(5x-3\right)|+C$