..... Q.5 Show that s! dx= 2a"

Q: Find dy/dr. 3

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Q: .3 1 J2 dx=? x² – 4x+5

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Q: ..2 C03 X dy 2 3 +sinx...y.= (4-x+5).y

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Q: dx xーメ

A: Explanation: Given that,  ∫x4+1x3-xdx Now we will perform long division and we will get…

Q: +). L x-1 dx -1x2+1

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Q: Table 5.2.1). . (a) (c) -7/8 dx 10. (a) / Fdx (b) dx (c)

A: Introduction: The indefinite integral is the process to find the function which on differentiation…

Q: Q.3 Show that Je dx=r

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Q: 2x3+2x2-2x-1 dx x2+x

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Q: -2 1 Evaluate dx. 4x2 + 4x + 5

A: This question is related to definate integral. Solve in step 2.

Q: 1. "(x² + y²) dxdy

A: Solve intregal

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Q: II. Evaluate the following. 1. 2x+4x-3 dk 2. Sx-8 x-2 3. J vx*-2x'+x*dx

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Q: 2. Sexdx

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Q: 3. LLa (x + 2y) dy dx

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Q: Q.No.3 Evaluate Sx cosec-xdx.

A: Explanation of the solution is given below....

Q: .2 dx Jo (9 + x²)2

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Q: .2 dx 6. (x-1)3

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Q: 3. Evaluate J,?-6x+5 1 dx if it exists. |

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Q: dx Evaluate • (1–2x)² 0 1 1 2 O-1 o 1 2

A: We have ∫-∞0dx(1-2x)2

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

Q: 2. -4 let u= dx=

A: Indefinite Integration using substitution

Q: 1. [²+3x - 4)dx

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Q: 3 2 2. 十X +江 xp x3一X 8. 2.

A: To evaluate the below integral. ∫2∞x2+x32+π x3-xdx

Q: 1. Find dx. x2 + 64

A: I = ∫1x2x2 + 64 dxLet x = 8 tanθ     dx = 8 sec2 θ dθx2 + 64 = 64 tan2θ + 64                 = 64…

Q: 9 4 2 10x²¹² + 3 dx √x

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Q: Let P(A) = 0.4 "and " P(AU B) = 0.6. For what value of P(B) are A "and " B are independent?

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Q: 8 .3 X (1+x)5 - dx

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Q: that je“ de-=rộ) dx =r)

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Q: 10 Find ſ," (+ 2x + 6) dx 4 x6

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