12 grade maths others
Write down the integrals of the following:
- ∫ 5x dx
Write down the integrals of the following:
- ∫ 5x dx
1 Answer
Askiitians Tutor Team
Approved Tutor Answer9 Months agoThe integral of the function 5x with respect to x can be calculated using basic integration rules.
Integral Calculation
To find the integral, we apply the power rule of integration, which states that:
- ∫ x^n dx = (x^(n+1))/(n+1) + C, where n ≠ -1
In this case, we have:
- 5x can be rewritten as 5 * x^1.
Applying the power rule:
- ∫ 5x dx = 5 * (x^(1+1))/(1+1) + C
- ∫ 5x dx = 5 * (x^2)/2 + C
- ∫ 5x dx = (5/2)x^2 + C
Final Result
The integral of 5x with respect to x is:
(5/2)x² + Cwhere C is the constant of integration.
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