Assertion - - ex4dx-ex4-C Reason- - exdx-ex-C

The correct option is D Assertion is incorrect but Reason is correctAs ∫ e^x^4dx can not be expressed in terms of elementary function, then integral is k ...

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Standard XII

Mathematics

Existence of Limit

Assertion : ...

Question

Assertion : $\int e^{x^{4}} d x = e^{x^{4}} + C$ Reason: $\int e^{x} d x = e^{x} + C$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is D Assertion is incorrect but Reason is correct
As $\int e^{x^{4}} d x$ can not be expressed in terms of elementary function, then integral is known as inexpressible i. e. cannot be found. So Assertion (A) is false but Reason (R) is true as $\int e^{x} d x = e^{x} + C$ is true.

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Assertion :∫ex4dx=ex4+C Reason: ∫exdx=ex+C

The correct option is D Assertion is incorrect but Reason is correctAs ∫ex4dx can not be expressed in terms of elementary function, then integral is known as inexpressible i. e. cannot be found. So Assertion (A) is false but Reason (R) is true as ∫exdx=ex+C is true.

Assertion : $\int e^{x^{4}} d x = e^{x^{4}} + C$ Reason: $\int e^{x} d x = e^{x} + C$

The correct option is D Assertion is incorrect but Reason is correct
As $\int e^{x^{4}} d x$ can not be expressed in terms of elementary function, then integral is known as inexpressible i. e. cannot be found. So Assertion (A) is false but Reason (R) is true as $\int e^{x} d x = e^{x} + C$ is true.