Question
Evaluate the integral
3x3−78x7+C,C∈R
Evaluate
∫(x2−2x2×x4×4)dx
Multiply
More Steps

Multiply the terms
2x2×x4×4
Multiply the terms
8x2×x4
Multiply the terms with the same base by adding their exponents
8x2+4
Add the numbers
8x6
∫(x2−8x6)dx
Use the property of integral ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx
∫x2dx+∫−8x6dx
Evaluate the integral
More Steps

Evaluate
∫x2dx
Use the property of integral ∫xndx=n+1xn+1
2+1x2+1
Add the numbers
2+1x3
Add the numbers
3x3
3x3+∫−8x6dx
Evaluate the integral
More Steps

Evaluate
∫−8x6dx
Use the property of integral ∫kf(x)dx=k∫f(x)dx
−8×∫x6dx
Use the property of integral ∫xndx=n+1xn+1
−8×6+1x6+1
Simplify
More Steps

Evaluate
6+1x6+1
Add the numbers
6+1x7
Add the numbers
7x7
−8×7x7
Multiply the terms
−78x7
3x3−78x7
Solution
3x3−78x7+C,C∈R
Show Solution
