Kwa kutumia ladha, moja ina∫csc2xcsc2x+cot2xdx=∫csc2x1+2cot2xdx. Kuwekau=√2cotx. Kisha,du=−√2csc2x na muhimu ni\(\displaystyle...Kwa kutumia ladha, moja ina∫csc2xcsc2x+cot2xdx=∫csc2x1+2cot2xdx. Kuwekau=√2cotx. Kisha,du=−√2csc2x na muhimu ni−1√2∫du1+u2=−√22tan−1u+C=√22tan−1(√2cotx)+C.
En utilisant l'astuce, on a∫csc2xcsc2x+cot2xdx=∫csc2x1+2cot2xdx. Setu=√2cotx. Then,du=−√2csc2x et l'intégrale est\(\displaysty...En utilisant l'astuce, on a∫csc2xcsc2x+cot2xdx=∫csc2x1+2cot2xdx. Setu=√2cotx. Then,du=−√2csc2x et l'intégrale est−1√2∫du1+u2=−√22tan−1u+C=√22tan−1(√2cotx)+C.
Usando a dica, temos∫csc2xcsc2x+cot2xdx=∫csc2x1+2cot2xdx. Setu=√2cotx. Then,du=−√2csc2x e a integral é\(\displaystyle −\tfrac{...Usando a dica, temos∫csc2xcsc2x+cot2xdx=∫csc2x1+2cot2xdx. Setu=√2cotx. Then,du=−√2csc2x e a integral é−1√2∫du1+u2=−√22tan−1u+C=√22tan−1(√2cotx)+C.