Integration

Math ⇒ Calculus

Integration starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Integration. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 11

Evaluate ∫₀¹ (4x + 1) dx.

Evaluate ∫₀² (x² + 2x) dx.

Evaluate ∫₀^π/2 cos(x) dx.

Evaluate ∫₀^π sin(x) dx.

Evaluate ∫₁⁴ x dx.

Evaluate ∫₁^e (1/x) dx.

Evaluate the definite integral ∫₀² (3x) dx.

Find ∫ (2x + 3) dx.

Find ∫ (3x² - 4x + 2) dx.

Find ∫ e^x dx.

Find the indefinite integral of 1/(x²) with respect to x.

Find the indefinite integral of 5 with respect to x.

Find the indefinite integral of cos(2x) dx.

If ∫₁³ f(x) dx = 5, what is ∫₃¹ f(x) dx?

If ∫₂⁵ f(x) dx = 7 and ∫₅⁸ f(x) dx = 4, what is ∫₂⁸ f(x) dx?

If f(x) = 2x, what is the area under the curve from x = 0 to x = 3?

If f(x) = 4, what is ∫₂⁵ f(x) dx?

The Fundamental Theorem of Calculus connects which two concepts?

What is the indefinite integral of x² with respect to x?

A particle moves along a straight line with velocity v(t) = 6t² - 4t, where t is in seconds. If the particle is at position s = 0 when t = 0, find the position of the particle at t = 2 seconds.