The problems about Integrate Using u-Substitution

Problem Solution
Integrate Using u-Substitution integral of x^2 sq… Solution: Step:1 Choose $u = x^{3} + 33$. Consequently, $d u = 3 x^{2} d x$. Express the i…
Integrate Using u-Substitution integral of (x+3)/… Solution: Step:1 Choose $u = x^{2} + 6x$. Consequently, $du = (2x + 6)dx$, which implies …
Integrate Using u-Substitution integral of (csc( … Solution: Step 1: Rewrite the integral using exponent rules Step 1.1: Express $\sqrt{…
Integrate Using u-Substitution integral of 4(6x+1… Solution: Step:1 Choose $u = 6x + 1$. Then differentiate to find $du$ in terms of $dx$. …
Integrate Using u-Substitution integral from 0 to… Solution: Step 1: Choose a substitution variable Assign $u = 2x$. Compute the differential $du…
Integrate Using u-Substitution integral of (x^3+1… Solution: Step:1 We recognize that u-substitution is not suitable for this integral. An al…
Integrate Using u-Substitution integral of 10x(5x… Solution: Step 1 Assign $u = 5x^2 - 2$. Compute $du$ by differentiating $u$ with respect t…
Integrate Using u-Substitution integral of 6(1+6x… Solution: Step 1: Choose $u = 1 + 6x$. Consequently, we have $du = 6dx$, which implies $…
Integrate Using u-Substitution integral of 1/( sq… Solution: Step 1 Assign $u = 5x + 8$. Consequently, $du = 5dx$, which implies $\frac{1}{5}…
Integrate Using u-Substitution integral from 0 to… Solution: Step 1: We cannot use u-substitution for this integral. We will employ a different …
Integrate Using u-Substitution integral of (x^3)/… Solution: Step 1 Assign $u = 5 - \frac{1}{2} x^{4}$. Compute the differential $du$. …
Integrate Using u-Substitution integral from 1 to… Solution: Step:1 We cannot apply u-substitution to this integral. We will proceed with a…
Integrate Using u-Substitution integral of sin(x)… Solution: Step 1 Assign $u = \cos(x)$. Consequently, $du = -\sin(x)dx$, which implies $-\…
Integrate Using u-Substitution integral from 0 to… Solution: Step 1: Identify that u-substitution is not applicable for this integral. We will …
Integrate Using u-Substitution integral of 28(7x-… Solution: Step:1 Assign $u = 7x - 2$. Consequently, $du = 7dx$, leading to the expression …
Integrate Using u-Substitution integral of x/(x+1… Solution: Step:1 Choose $u = x + 1$. Consequently, $d u = d x$. Reformulate the integral in te…
Integrate Using u-Substitution integral of x^2sin… Solution: Step 1 Assign $u = x^3$. Consequently, $du = 3x^2 dx$, which implies $\frac{1}{…
Integrate Using u-Substitution integral of 1/(y s… Solution: Step 1: We cannot use u-substitution to solve this integral. An alternative app…
Integrate Using u-Substitution integral of sin(x)… Solution: Step 1: Extract $\cos^2(x)$ from the integral: $\int \sin^2(x) (\cos^2(x)\cos(…
Integrate Using u-Substitution integral of x squa… Solution: Step 1 Choose $u = 1 + x$ and calculate $du$. Step 1.1 Set $u = 1 + x$ an…