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Evaluate the following definite integra...

Evaluate the following definite integrals `int_0^4(x+e^(2x))dx`

Text Solution

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We have `int_0^4(x+e^(2x))dx`​
⇒`int_0^4xdx+int_0^4e^(2x)dx`​
⇒`1/2int_0^4[x^2]​+1/2​int_0^4[e^(2x)]+c`​
⇒`1/2​×16+1/2​[e^8−1]+c`​
`=>8+1/2​[e^8−1]+c.`​
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