Math, asked by sarthak42069, 1 day ago

Solve the Integration
int (5x+14)e^ 5x dx (x+3)^ 2

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Answered by radhikatallapragada

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Answer:

I=∫ex+e−xe5x+e3xdx=∫e2x+1e5x+e3xexdx

Put t=ex⟹dt=exdx

I=∫t2+1t5+t3dt=∫(t2+1)t3(t2+1)dt=∫t3dt=4t4+c=4e4x+C

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