Given f²³ F(x (a) [ 1(x) dx. f(x) dx = 16 and (b) [ f(x) f(x) dx. 5 (c) [³1x) dx. f(x) 5 (d) [²² X 2f(x) dx. [₁ f(x) dx = 9, evaluate

Q: (12) Find the Value of b such that: [3x² dx = 27 (A) 6 (C) 9 (B) 3 (D) none of these 4

A: Step 1:To find the value of b such that ∫0b​3x2dx=27, we need to solve the definite integral: Step…

Q: If f(x) is even and 5 [₁(f(x) - f(x) 8) dx = 8, find -5 5 [²³F(x) f(x) dx.

A: ∫-55fx-8dx=8 ∫-55fxdx-∫-558dx=8 ∫-55fxdx-8∫-55dx=8 As, ∫dx=x ∫-55fxdx-85--5=8 ∫-55fxdx-8×10=8…

Q: Given f(x) dx = 6 and g(x) dx = -4, evaluate the following. %3D (a) [f(x) + g(x)] dx (b) [g(x) –…

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Q: (x² for x < 2 Evaluate: g(x)dx where g(x) =16 – x for x 2 2

A:

Q: (c) [ √4x² X -dx

A: The given integration is

Q: Use the values 3 1³ F(x 16 90 f(x) dx = 6 and g(x) dx = 2 to evaluate the definite integral.

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Q: ,2 So|x² - 1 dx

A:

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

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Q: Given that (a) (b) [{f(x) dx = 7 and ['f(x) [₁Fx f(x) dx [²F(x) dx - [₁1x) f(x) dx f(x) dx = 9,…

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Q: X x²-x+ 20 3 X để nghi + 5x dx

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Q: Find (x + 2)(x-7)dx (x + 2)(x − 7)dx= + C

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Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

A: