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8. Definite Integrals

Fundamental Theorem of Calculus

8. Definite Integrals

Fundamental Theorem of Calculus

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Fundamental Theorem of Calculus Part 1

Fundamental Theorem of Calculus Part 1

Fundamental Theorem of Calculus Part 1 Example1

Fundamental Theorem of Calculus Part 1 Example1

Fundamental Theorem of Calculus Part 2

Fundamental Theorem of Calculus Part 2

Fundamental Theorem of Calculus Part 2 Example 2

Fundamental Theorem of Calculus Part 2 Example 2

Practice this topic

Multiple Choice
Given the definite integral $F (x) = \int_{3}^{x} [t^{8} - \sin (t^{4})] d t$ , find the derivative $F^{'} (x)$ .
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Multiple Choice
Given the definite integral $F\(\left\)(x\(\right\))=\(\int\)_{12}^{20x}\!\(\left\)(h^4+\(\frac{63h}{\sqrt{h^5}\)}\(\right\))\,dh$ , find the derivative $F^{\(\prime\)}\(\left\)(x\(\right\))$ .
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Multiple Choice
Evaluate the following integral:
$integral from 0 to 3 comma 4 d x$
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Multiple Choice
Evaluate the following integral:
$integral from 1 to 4 comma open paren 2 x plus 1 close paren d x$
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Textbook Question
Definite integrals Evaluate the following integrals using the Fundamental Theorem of Calculus

∫₁⁸ 8𝓍¹/³ d𝓍
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Textbook Question
Definite integrals Evaluate the following integrals using the Fundamental Theorem of Calculus

∫₁⁹ 2/(√𝓍) d𝓍
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Textbook Question
Definite integrals Evaluate the following integrals using the Fundamental Theorem of Calculus

∫¹₁/₂ (t⁻³ ― 8) dt
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Textbook Question
Definite integrals Evaluate the following integrals using the Fundamental Theorem of Calculus

∫₋₂⁻¹ 𝓍⁻³ d𝓍
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