Calculate -8 [ f(x)dx -10 g(x) dx = 11 -10 f¹⁰ f(x)dx = -1 f(x)dx= -18 -10 g(x) dx = 16 (2) ² (² (2f(x) - 5g(x)) dx

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A: I=∫dx8xln⁡(x)−7x

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A:

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A:

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A: Solve the following

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A: I have stated the used formulas in the solution

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A:

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A: Given:

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A:

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A:

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A:

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A: Given,            ∫x2+3x2x2+1dx

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A:

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A:

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A:

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A: Given: I=∫163fx-gxdx And ∫16fxdx=2 ; ∫16gxdx=30 We know that; the sum rule: ∫fx±gxdx=∫fxdxdx±∫gxdx…

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A:

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A: Given  To prove

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A: Derivative

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A:

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A: integration using partial fraction

Q: (In(æ)) -dx; 1

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Q: (9) f(x² - & 8x + 3)dx (h) f(ax + + b)dx ff f(²x² (i) 7x + 4e -3dx

A: Here we have to find the integration using basic properties.   Part- g Now, ∫(x2-8x+3)dx=∫x2 dx-8 ∫x…

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A: We have to find out