Definite Integration Question 42
Question 42
- If
and , then the correct expression(s) is/are (a) (b) (c) (d)
Passage II
For every function
for more acurate results for
When
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Solution:
- Given,
$\Rightarrow \quad\left[x^{2} F(x)\right]{1}^{3}-\int{1}^{3} 2 x \cdot F(x) d x=-12$
$\Rightarrow \quad\left[x^{3} F^{\prime}(x)\right]{1}^{3}-\int{1}^{3} 3 x^{2} F^{\prime}(x) d x=40$