Integrate N² xsin³ (x²)dx

Q: integral (cos(x)^1/2)dx

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Q: Q2. Integrate dx

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Q: Integrate S x sin(x)dx

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Q: 9. Integral (2x-5) dx x²5x+3

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Q: Ssin" x 14 x cos' x dx Integrate:

A: Given,        ∫sin14xcos5xdx

Q: improper integsal dx (x²+3)²

A: To solve the following improper Integral , first we solve integration without limits then apply…

Q: dx Integrate: S x²-3x+2

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Q: integrate (nx)^1-n/n dx.

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Q: dx

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Q: et-x+l 2x –1 -dx by using substitution method. Integrate

A: First I have made a substitution and integral become easy and then solved . I have written all…

Q: 2x2-3х-1 -dx (x²+9)(x-5) E. Integrate:

A: Let's integrate.

Q: x-2 dx x + 2

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Q: Integrate dx/(16-x^2)

A: By using partial fraction,we calculate the given integral.

Q: dx x6 +1

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Q: Integrate S (2x+1) Staz+X+4) dx

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Q: 8x dx 1) Jo 4x2-5 ex 2) S², dx -1 1+ex L,4-* In 2 dx

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Integrate fx cos(4x) dx fa

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Q: s x3 √1-x² V dx

A: Given: I=∫x31-x2dx   ...1   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: X 3- Ssin ² x dx ។

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Q: x'dx √√x(1-x)

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Q: 6. S sec3 dx

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Q: x +1 -dx x² (x – 1) (a) Integrate

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Q: integrate  (X^2-3)^2 dx;

A: To find the integral.

Q: x3 e2x dx. Integrate

A: ∫12x3e2xdxThis can be done by two steps;Step-1:integrate without limitwe can integrate by parts∫fg'…

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: integrate (2 + x^2)/x^1/2 dx from 1 to 4

A: to find I=∫142+x2xdx

Q: x² +3 -dx +8x + 25 1) Integrate |

A: Solution: The objective is to find the value of the given integral

Q: [x7'dx Integrate:

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Q: dx 62 + x² Integrate:

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Q: Integral of 2cos^2x+3sin^2x dx from 0 to pi/2

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Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: How do you integrate: xe11x dx ?

A: Given integral

Q: 14 Approximate (x2 - 3) dx using 4 rectangles. 2

A: Solution -    Given Integral is -  y=∫214(x2-3)dx    Now we have to evaluate the value of the…

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

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Q: dy dx 118 (x = 3x - 5

A: Topic:- differential equations

Q: Integrate x(1-x^2)^5 dx

A: Evaluate: ∫x1-x25 dx.   ∫x1-x25 dx Let 1-x2=u therefore,  -2x dx=dux dx=-du2 Hence new integral…

Q: 1 O Integrate -dx x(1+/In x)

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Q: Integrate X dx 1+x2

A: To evaluate the below integral. ∫x51+x12dx

Q: Integrate X dx 1+ x²

A: Given, I=∫x51+x12dxOrI=∫x51+x62dx

Q: ' 7 cosh (x) dx = 1

A: We have to evaluate the integral ∫197coshxxdx

Q: 4. S 9-x- dx

A: Given problem:-

Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: sin 2x dx 4. J2osin cosmetin2xdx

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Q: 3. dx 6X dx VT-x2 1-x² Et2

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Q: 2. Integrate. 10 dx (x - 1)(x² + 9)

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Q: integral e 2x sin 3x dx

A: