Differentiation and integration

Question 1 of 8

Question 1 of 8

Find ∫(4x³ − 2) dx.

A. x⁴ − 2 + c B. 12x² + c C. x⁴ − 2x + c D. 4x⁴ − 2x + c

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Question 2 of 8

Question 2 of 8

Differentiate (2x + 1)³ with respect to x.

A. 6(2x + 1)³ B. 3(2x + 1)² C. 6(2x + 1)² D. 2(2x + 1)²

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Question 3 of 8

Question 3 of 8

Evaluate the integral of 2x from x = 0 to x = 2.

A. 2 B. 4 C. 8 D. 0

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Question 4 of 8

Question 4 of 8

Differentiate x sin x with respect to x.

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

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Question 5 of 8

Question 5 of 8

Differentiate sin x with respect to x.

A. tan x B. −cos x C. −sin x D. cos x

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Question 6 of 8

Question 6 of 8

Differentiate y = cos 3x.

A. −3 sin 3x B. 3 sin 3x C. −sin 3x D. sin 3x

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Question 7 of 8

Question 7 of 8

Find ∫3x² dx.

A. x² + c B. 6x + c C. 3x³ + c D. x³ + c

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Question 8 of 8

Question 8 of 8

∫ (2x + 3) dx =

A. x² + 3x + C B. 2x² + 3x + C C. x² + C D. 2 + C

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