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Integral de 3 ^ x * cos(x)dx?

Integral de 3 ^ x * cos(x)dx.

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<img src="https://tex.z-dn.net/?

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Pepermin75

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<img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%0AI%3D3%5Ex%5Csin%20x%2B%5Cln%203%5Ccdot%5Cleft%5Be%5E%7Bx%5Cln%203%7D%5Ccdot%20%5Ccos%20x-%5Cln%203%5Ccdot%20I%20%5Cright%5D%5C%5C%20%5C%5C%0AI%3D3%5Ex%5Csin%20x%2B3%5Ex%20%5Ccos%20x%20%5Cln%203-%5Cln%5E2%203%5Ccdot%20I%20%5C%5C%20%5C%5C%0A%5Cleft%281%2B%5Cln%5E2%203%5Cright%29I%3D3%5Ex%5Csin%20x%2B3%5Ex%20%5Ccos%20x%20%5Cln%203%5C%5C%20%5C%5C%20%5C%5C%0A%5Cboxed%7BI%3D%5Cdfrac%7B3%5Ex%28%5Csin%20x%2B%5Cln%203%5Ccos%20x%29%7D%7B1%2B%5Cln%5E2%203%7D%7D" />.