Quiz for Integration

Q1: What is ∫x dx?

A. x B. x²/2 C. 2x D. ln|x|

Q2: What is ∫1/x dx?

A. ln|x| + C B. 1/x² + C C. x ln|x| D. x² + C

Q3: What is ∫e^x dx?

A. x·e^x + C B. e^x + C C. ln|x| + C D. 1/e^x + C

Q4: ∫cos x dx equals?

A. sin x + C B. -cos x + C C. -sin x + C D. cos x + C

Q5: ∫sin x dx equals?

A. cos x + C B. -cos x + C C. -sin x + C D. sin x + C

Q6: What is ∫sec²x dx?

A. tan x + C B. sec x + C C. cot x + C D. cosec x + C

Q7: ∫1/(1+x²) dx equals?

A. ln|x| + C B. tan⁻¹x + C C. cot⁻¹x + C D. sec⁻¹x + C

Q8: ∫tan x dx equals?

A. -ln|cos x| + C B. ln|sin x| + C C. ln|tan x| + C D. tan x + C

Q9: ∫x^n dx (n ≠ -1) is equal to?

A. x^n/n + C B. x^(n+1)/(n+1) + C C. ln|x| + C D. n*x^(n-1) + C

Q10: Integration is the reverse process of?

A. Differentiation B. Multiplication C. Derivation D. Equation solving

Q11: What is the integral of ln x?

A. x ln x - x + C B. ln x + C C. 1/x + C D. x/ln x + C

Q12: ∫1/√(1 - x²) dx is equal to?

A. tan⁻¹x + C B. sec⁻¹x + C C. sin⁻¹x + C D. cos⁻¹x + C

Q13: ∫dx/(x√(x² - 1)) equals?

A. sec⁻¹x + C B. cos⁻¹x + C C. ln|x| + C D. tan⁻¹x + C

Q14: What is the definite integral ∫₀^π sin x dx?

A. 2 B. 0 C. 1 D. 2π

Q15: What is ∫(3x² + 2x + 1) dx?

A. x³ + x² + x + C B. x³ + x² + 1 + C C. 3x² + x + C D. x³ + x² + x

Q16: ∫x·e^x dx is equal to?

A. x·e^x - e^x + C B. e^x + x + C C. x²/2 e^x + C D. x² e^x + C

Q17: What is ∫1/(a² + x²) dx?

A. 1/a tan⁻¹(x/a) + C B. tan⁻¹(x) + C C. log(x² + a²) + C D. x/(a² + x²) + C

Q18: What is ∫x ln x dx?

A. x² ln x - x²/2 + C B. x ln x - x + C C. x²/2 ln x + C D. ln x + x + C

Q19: What is ∫sec x dx?

A. ln|sec x + tan x| + C B. tan x + C C. sec x + C D. ln|tan x| + C

Q20: If F(x) = ∫₀^x f(t) dt, then F'(x) is?

A. f(x) B. f'(x) C. F(x) D. 0