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

Q: [3tan(x)² dx 2

A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

Q: Use integration by parts to verify the reduction formula.

A:

Q: 15) S 3x (x³-1)² dx

A:

Q: Evaluate ∫x3 √(1 - x2) dx using integration by parts.

A: Consider the given integral Here the objective is to evaluate given indefinite integral.

Q: 2 x+1 dx J-1

A:

Q: 14.Use a substitution to evaluate / aVx+1 dx rVa+1 dx. Show all details of the process.

A: To solve- given integral by substitution  method.

Q: tan20 sec2ede In 2 edx 3. 1. (a² + a²tan²0)² 2ex- 1 x'dx dx x- 1 2. 4. (1+ x2)3

A: As per our policy, only the first three subdivisions will be solved. For the remaining subdivision,…

Q: 2xycosx^2 -2xy+1}dx+{sinx^2 -x^2 +3}dy=0

A:

Q: 1. | x cos x dx

A: 1 We have to evaluate the integral ∫xcosxdx. Use formula ∫fxgxdx=fx∫gxdx−∫dfxdx⋅∫gxdxdx Here, fx=x…

Q: 20. Use integration tables to find J coox 7sinx + 5sinx + 4 dx

A:

Q: In x 2. Integrate -dx , (i) using the sub stitution u = Inx (ii) using integration by parts.

A: Integrate by substitutions and by parts

Q: Integrate √2 2 | sin x 2 √1-x² dx

A:

Q: lex-25 dx

A:

Q: Sz x² sin 2x dx (Integration by Parts)

A:

Q: 2x2 dx 5 – x²

A: Given - ∫2x25 - x2 dx To find - Find the integration using substitution u = 5 - x2

Q: arctanx e dx (1+x²,"

A: The given problem is to evaluate the given integral. We have to evaluate by using substitution…

Q: x'dx √√x(1-x)

A:

Q: c) Use trigonometric substitution to integrate dx 4-x2

A:

Q: In 2x dx 3.

A: We have to find solution

Q: Find /- tan- x -dx using integration by parts. x2 ITM

A:

Q: 8. dx +x2 Integrate:

A:

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: (a) Evaluate xe* dx using substitution method. (b) Evaluate | 6xe* dx using integration by part…

A: We will find out the required value.

Q: Integrate x sqrt of (x+4) dx using algebraic substitution

A:

Q: 3 sinº x dx 4 Show that

A:

Q: O Integrate In 2x dx by using integration by part.

A:

Q: 7. Integrate 2x-1 dx by using substitution method.

A:

Q: dx Q2. Integrate

A: Given,I=∫1x2+15dx Consider x=tanu and u=arctan(x) then, dx=sec2udu…

Q: 11.f (4x+5) dx √1-2x

A:

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: Use an appropriate substitution to integrate 24xcos(x2-2)dx

A:

Q: Vx2-1 dx

A:

Q: dx 62 + x² Integrate:

A:

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

A:

Q: 2х — 1 - dx 6х + 18 x² -

A:

Q: Integral of cos4x dx

A: =∫(cos2x)2dx =∫(1+cos2x2)2dx=∫1+cos2x4dx=∫1+cos22x+2cos2x4dx= 14∫1+cos22x+2cos2xdx=…

Q: V9x² – 5 - dx . .2 fact to determine the integral 9x?

A:

Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

A:

Q: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

A:

Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

A:

Q: Integrate using substitution: [x* cos(x' )dx

A:

Q: Se²(x² + 2x dx by using the integration by parts. Q4 Evaluate ,2x

A:

Q: Q/Evaluate Integral:- sec2 3x dx tan23x-3 tan3x+2

A: To evaluate the integral:

Q: x² sin 2x dx¸ Use integration by parts.

A:

Q: 7. dx * = + 2 dy Lal

A:

Q: a) Evaluate 1| dx by using integration by parts.

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

Q: tan Find -dx using integration by parts.

A: Given integration ∫tan-1xx2dx

Q: Integrate x?dx

A:

Q: What is the antiderivative of sec2(5x)dx from pi/20 to -pi/20?

A:

Q: Integrate using trigonometric substitution Integral of x/(x^2-1)dx

A: