what is the integration of the term : 4x^3 root(5-x^2) dx

Question

Snehal Jadhav · Answer

The given indefinite integral can be found by using subsitution method : ∫4x 3 (5 – x 2 ) 1/2 dx Subsitute 5 – x 2 as t 2 : 5–x 2 = t 2 −2xdx = 2tdt −x dx = t dt ∫4x 3 (5 – x 2 ) 1/2 dx = ∫4(t 2 − 5)t dt ∫(4t 3 – 20t)dt t 4 – 10t 2 + c Resubsitute the value of 5 – x 2 as t 2 : (5 – x 2 ) 2 – 10(5 – x 2 ) + c The final Answer is: x 4 – 25 + c

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what is the integration of the term : 4x^3 root(5-x^2) dx

what is the integration of the term : 4x^3 root(5-x^2) dx

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