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Popular Calculus >

integral of (8x+3)^4

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Solution

∫(8x+3)4dx

Solution

401​(8x+3)5+C
Solution steps
∫(8x+3)4dx
Apply u-substitution
=∫8u4​du
Take the constant out: ∫a⋅f(x)dx=a⋅∫f(x)dx=81​⋅∫u4du
Apply the Power Rule
=81​⋅5u5​
Substitute back u=8x+3=81​⋅5(8x+3)5​
Simplify 81​⋅5(8x+3)5​:401​(8x+3)5
=401​(8x+3)5
Add a constant to the solution=401​(8x+3)5+C

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Popular Examples

(d^2)/(dx^2)(e^x-x^4)area (sqrt(48-2x))-x,[-8,24]limit as x approaches infinity of (-5)/xinverse oflaplace 1/((s-3))y^'=xsqrt(1-y^2)

Frequently Asked Questions (FAQ)

  • What is the integral of (8x+3)^4 ?

    The integral of (8x+3)^4 is 1/40 (8x+3)^5+C
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