Reverse differentiation and constants: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
The integrand is \(f(x)=3 x^{2} + 22 x\), on real x.
Find the coefficient of \(\displaystyle x^3\) in a primitive.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reverse differentiation and constants: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
The integrand is \(f(x)=2 x^{2} + 25 x\), on real x.
Find the coefficient of \(\displaystyle x^3\) in a primitive.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reverse differentiation and constants: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
The integrand is \(f(x)=4 x^{3} + 23 x\), on real x.
Find the coefficient of \(\displaystyle x^{2}\) in a primitive.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reverse differentiation and constants: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
The integrand is \(f(x)=5 x^{4} + 24 x\), on real x.
Find the coefficient of \(\displaystyle x^{2}\) in a primitive.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reverse differentiation and constants: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The integrand is \(f(x)=5 x^{4} + 24 x\), on real x.
Find the definite integral from 0 to 3.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reverse differentiation and constants: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The integrand is \(f(x)=2 x^{2} + 25 x\), on real x.
Find the definite integral from 0 to 1.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reverse differentiation and constants: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The integrand is \(f(x)=2 x^{2} + 25 x\), on real x.
For the primitive with \(\displaystyle F(0)=0\), find F(1).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reverse differentiation and constants: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The integrand is \(f(x)=3 x^{3} + 26 x\), on real x.
For the primitive with \(\displaystyle F(0)=0\), find F(1).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.