If ∫f(x)dx=ψ(x), then ∫x5f(x3)dxis equal to

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If {f{{({x})}}}{.{d}{x}.}={({x})}, then {x}^{{5}}{f{{({x}^{{3}

Question

If $\int f (x) d x = ψ (x)$ , then $\int x^{5} f (x^{3}) d x$ is equal to

\frac{1}{3} x^{3} ψ (x^{3}) - 3 \int x^{3} ψ (x^{3}) d x + C

\frac{1}{3} x^{3} ψ (x^{3}) - \int x^{2} ψ (x^{3}) d x + C

\frac{1}{3} x^{3} ψ (x^{3}) - \int x^{3} ψ (x^{3}) d x + C

\frac{1}{3} [x^{3} ψ (x^{3}) - \int x^{2} ψ (x^{3}) d x] + C

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Evelyn Discussed

\int f (x) d x = ψ (x)

, then

\int x^{5} f (x^{3}) d x

is equal to

13 mins ago

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Question Text	If $\int f (x) d x = ψ (x)$ , then $\int x^{5} f (x^{3}) d x$ is equal to
Answer Type	Video solution: 1
Upvotes	150