Question
Evaluate the integral
542x5+C,C∈R
Evaluate
∫(4×2x3)(7x×1)×3dx
Remove the parentheses
∫4×2x3×7x×1×3dx
Multiply the terms
More Steps

Multiply the terms
4×2x3×7x×1×3
Rewrite the expression
4×2x3×7x×3
Multiply the terms
More Steps

Evaluate
4×7×3
Multiply the terms
28×3
Multiply the numbers
84
84×2x3x
Cancel out the common factor 2
42x3×x
Multiply the terms
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Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
42x4
∫42x4dx
Use the property of integral ∫kf(x)dx=k∫f(x)dx
42×∫x4dx
Use the property of integral ∫xndx=n+1xn+1
42×4+1x4+1
Simplify
More Steps

Evaluate
4+1x4+1
Add the numbers
4+1x5
Add the numbers
5x5
42×5x5
Multiply the terms
542x5
Solution
542x5+C,C∈R
Show Solution
