Question 5 x² – 25 The antiderivative of - dx is x2 – 25 – sec-lx+ C. True F False

Q: EVALUATE e3x dx 0. O None o 음(el2-1) ,12 (e!0 – 1) ,12

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Q: 3 19 dx Evaluate 5+x - 4x 2

A: By using complete square and integration

Q: 3 dх 8+7 сos x

A: Given: I=∫3dx8+7cosx For evaluating given integral, we use identity cosx=1-tan2x21+tan2x2 then…

Q: Q. / Standx dx 3 None 2log|sec4x| + c 3 8log|sec4x| .+ c 3 2log|sec4x| + c 4

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Q: 7x+6x+5 dx. Evaluate J(x+1)(x² +1)'

A: Consider the given integral.

Q: D Evaluate 2x dx (I+ x)3

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Q: 2= S<(-t) t Sx Tb+ Sx n find the fourth %3D denivative

A: The third derivative is given: x⃛=S−t+Sτb+S˙n Here all the symbols are not explained properly…

Q: 1 dx. Evaluate J1 (x+2)(2x+3)

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Q: - 4x + 30 -dæ Evaluate (x – 5)(x + 5) + C

A: To solve the given integral first break the integrand into the simple expression using partial…

Q: 4х+1 dx. Evaluate J 3-x²-x+1 х3—х2—х+1

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Q: 3 Evaluate exactly. 24x³ dx 0 Vx* +1 x' +1

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Q: dx Evaluate 2 -1 O -2 O -0 O O O O

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Q: x² dx x² + 9

A: The integral function is ∫x2x2+9dx.

Q: x² – 1 - Evaluate f dx x4 +1

A: We have to evaluate the integral: ∫x2-1x4+1dx This is special type of integration this will be…

Q: 1 dx. 6. Evaluate, if possible, | (2 + 1)

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Q: 1. [²+3x - 4)dx

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Q: dx. x2 V1+ x2 Evaluate

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Q: Evaluate f x²n. x2n-1 x + 1 dx.

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Q: Evaluate х2 + 2х — 1 х3 — х

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Q: 2. Evaluate 4 dx . 2 x²- 36 -00

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Q: Evaluate 1/2√2 0 2 √1 - 4x² dx

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Q: 2 dx . 1- x Evaluate

A: The given integral is ∫02x1-xdx                       (1)