The value of ∫ 0 1 4 x 3 d 2 d x 2 1 - x 2 5 d x is ____________

Question

The value of &#8747; 0 1 4 x 3 d 2 d x 2 1 - x 2 5 d x is ____________

Aicharya · Accepted Answer

&#8747; 0 1 4 x 3 &#9183; d 2 d x 2 &#160; 1 - x 2 5 &#9183; d x = 4 x 3 d d x &#160; 1 - x 2 5 0 1 - &#160; &#8747; 0 1 12 x 2 d d x &#160; 1 - x 2 5 &#160; d x = 4 x 3 &#160; &#215; 5 1 - x 2 4 &#160; - 2 x 0 1 - 12 x 2 1 - x 2 5 0 1 - &#160; &#8747; 0 1 2 x 1 - x 2 5 d x = 0 - 0 - 12 0 - 0 + 12 &#160; &#8747; 0 1 2 x 1 - x 2 5 &#160; d x = 12 &#160; &#215; - 1 - x 2 6 6 0 1 = 12 0 + 1 6 = 2

The value of &#8747; 0 1 4 x 3 d 2 d x 2 1 - x 2 5 d x is ____________

Solution

The value of ∫ 0 1 4 x 3 d 2 d x 2 1 - x 2 5 d x is ____________