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Integration of 3 – 2x – x4 will become
- a)– x2 – x5 / 5
- b)3x – x2 – x5 / 5
- c)3x – x2 x5 / 5 +k
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Integration of 3 2x x4 will becomea) x2 x5 / 5b)3x x2 x5 / 5c)3x ...
Solution:
The given expression is 3 * 2x * x^4
We can simplify this expression by multiplying the coefficients and adding the exponents of the variables:
3 * 2x * x^4 = 6x^5
Therefore, the integral of 6x^5 is:
∫6x^5 dx = x^6 + C
where C is the constant of integration.
To check if the answer is correct, we can differentiate the result using the power rule of differentiation:
d/dx (x^6 + C) = 6x^5
which is the same as the original expression.
Therefore, the correct answer is option B:
3x + x^2 + x^5/5 + C
The given expression is 3 * 2x * x^4
We can simplify this expression by multiplying the coefficients and adding the exponents of the variables:
3 * 2x * x^4 = 6x^5
Therefore, the integral of 6x^5 is:
∫6x^5 dx = x^6 + C
where C is the constant of integration.
To check if the answer is correct, we can differentiate the result using the power rule of differentiation:
d/dx (x^6 + C) = 6x^5
which is the same as the original expression.
Therefore, the correct answer is option B:
3x + x^2 + x^5/5 + C
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Community Answer
Integration of 3 2x x4 will becomea) x2 x5 / 5b)3x x2 x5 / 5c)3x ...
Option B
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Integration of 3 2x x4 will becomea) x2 x5 / 5b)3x x2 x5 / 5c)3x x2 x5 / 5 +kd)none of theseCorrect answer is option 'B'. Can you explain this answer?
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