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प्रश्न
Using second fundamental theorem, evaluate the following:
`int_0^1 "e"^(2x) "d"x`
योग
उत्तर
`int_0^1 "e"^(2x) "d"x = ["e"^(2x)/2]_0^1`
= `1/2 ["e"^(2x)]_0^1`
= `1/2["e"^(2(1)) - "e"^(2(0))]`
= `1/2 ["e"^2 - "e"^0]`
= `1/2 ["e"^2 - 1]`
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Definite Integrals
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