Use Integration by Substitution to find sin(x²) 2x dx Use Integration by Substitution to find cos(x) 3x² dx Use Integration by Substitution to find / ) da 22

Q: ((cos 2x – sin? 3x)dx

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Q: Find the indefinite integral.

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Q: Find the indefinite integral. ∫(5 cos x − 2 sec2 x) dx

A: We first separate the integrals then integrate.  C=integrating constant

Q: Find the indefinite integral ∫sin2 3x dx (a) using a table of integrals and (b) using the…

A: Given

Q: 3. tan' x sec' xdx cos x 4. sin x Find the indefinite integral and check the result by…

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Q: Use Integration by Substitution to find | (12(3r + 1)*)dx Use Integration by Substitution to find…

A: This is based on simple integration

Q: Find the indefinite integral.

A: To find the indefinite integral: ∫5cosx - 2sec2xdx Solution: Evaluating the integral. ∫5cosx -…

Q: Solve indefinite integral ∫ cos(πx)/sin^3(πx) dx

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Q: Evaluate sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after the…

A: We have to find ∫sinln(x) dxWe will apply formula for integration by parts.We know, ∫uv dx…

Q: Evaluate the integral.  integral sin 9  x cos 3x dx

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Q: - $x² cos(x³) dx

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Q: Determine the constants a and b such that                                                       sin…

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Q: 11.J sin 3 x sin 6 xdx 3

A: To evaluate the given integral.∫sin 3x sin 6x dx

Q: Find the indefinite integral.

A: The indefinite integral ∫f(x)dx is the function F(x) such that F'(x)=f(x). The function F(x) is…

Q: Evaluate the integral 3 4 sin° (x) cos (x) dx Note: Use an upper-case "C" for the constant of…

A: Give query is to eveluate the integral.

Q: Find the indefinite integral. ( use C for the constant of integration) Sin(9x) cos(9x) dx

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Q: Using integration by parts, we can convert the integral x200 . sin x dx to which of the following?…

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Q: Find the indefinite integral. X cos 8TX2 dx

A: To evaluate the integral: I=∫x cos 8πx2 dx⇒I=∫cos 8πx2 x dx...(1)

Q: Evaluate the integral. sin(5.x) sin(4x) dx

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Q: 15 Using integration by parts, solve f 2x sin 2x dx.

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Q: Use Integration by Substitution to find sin(x²) 2x dx

A: As per our guidelines we are supposed to answer only 1 question. Please repost other questions as…

Q: Use integration by parts to solve the indefinite integral of [sin5xcos3x]dx

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Q: Find the indefinite integral

A: To find the indefinite integral: ∫sinx7+cos2x dx Solution: Let substitute t=cosx Differentiating…

Q: Evaluate the integral.  integral sin 9  x cos 5x dx

A: Given :           ∫ sin9 xcos5 xdx

Q: integral of (-cosx/sin^-6x)dx (Use C as the constant of integration)

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Q: Ssin (x) + sin(x) cos²(x) To evaluate the dx using basic formula of integration (without using…

A: This question is based on indefinite integral.

Q: Use integration by parts to find L[cos t]. Do not use et.

A: Laplace transform

Q: Evaluate the integral.  ∫0pi/3 sinx*ln(cosx) dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered. please…

Q: (a) Using integration by parts, find fx sin(2x - 1) dx. (b) Use substitution method to find x² 2x-1…

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Q: Use integration by parts to find, x cos2x dx

A: Answer :

Q: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: Find the general indefinite integral

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Q: 9. Using integration by parts, evaluate fe* sin 3x dx.

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Q: Use integration tables to find or evaluate the integral ∫ 1 / sin   x cos   x dx

A: We have to evaluate the integral: ∫1sin x cos xdx We know the identity: sin2x+cos2x=1 Substituting…

Q: Find the indefinite integral: | sin(6x) cos(3x) dx

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Q: Evaluate the integral.  integral sin 6  x cos 5x dx

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Q: Use u-substitution to evaluate the integral: (cos(x)/ sin(x)+1) dx

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Q: To evaluate the / sin-(x) + sin(x) cos2(x) -dx using basic formula of integration (without using…

A: We need to find values of f(x).

Q: Solve the integral. cos x dx J (1+ sin² x) arctan (sin x) 10.

A: To evaluate:                      ∫cos x(1+sin2 x)arctan(sin x)dx    ... (1)

Q: Evaluate sin (1 sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

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

A: We have to verify the reduction formula using integration by parts: ∫sinn x dx=-sinn-1 x cos…

Q: Evaluate the definite integral: integral from x=0 to Pi/2 of cosxsin(sinx) dx

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Q: Find the trigonometric integral ∫sin2 x cos3 x dx

A: We have to find the trigonometric integral: ∫sin2 x cos3 x dx Rewriting the integral, ∫sin2 x cos3 x…

Q: Find the indefinite integral ∫sinx / cos3x dx

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Q: Evaluate sin integral (4x) cos(5x) dx

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

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Q: X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x)…

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Q: ubstitution and by parts?

A: we have to integrate ∫cos(ln x)dx integration by substitution and by parts.

Q: (ii) Using integration by parts and the result in (i), find [sin"x dx.

A: We use integration by parts

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.