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Integrate Using u-Substitution integral of 1/((8x…
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Solution:
Step 1
Define $u$ as $8x - 1$. Consequently, differentiate $u$ with respect to $x$ t… |
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Integrate Using u-Substitution integral of (sin(x…
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Solution:
Step 1:
Choose $u = \cos(x)$. Consequently, we have $du = -\sin(x)dx$, which im… |
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Integrate Using u-Substitution integral of e^(cos…
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Solution:
Step 1
Assign $u = \cos(x)$. Consequently, $du = -\sin(x)dx$, which implies $-\f… |
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Integrate Using u-Substitution integral from 1 to…
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Solution:
Step 1
Choose $u = \frac{1}{x^{4}}$. Consequently, we have $d u = - \frac{4}{x^… |
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Integrate Using u-Substitution integral of x/(1+x…
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Solution:
Step 1:
Choose $u = 1 + x^2$. Consequently, $du = 2x dx$, which implies $\frac… |
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Integrate Using u-Substitution integral of (5x^2-…
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Solution:
Step 1:
Reposition the constant $2$ in front of the expression $(5x^2 - 3)$ to… |
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Integrate Using u-Substitution integral of (4sin(…
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Solution:
Step 1: Define a new variable u
Let $u = 3 + \cos(x)$. This implies that $du = … |
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Integrate Using u-Substitution integral of sec(2x…
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Solution:
Step 1
Assign $u = \sec(2x)$. Consequently, $du = 2 \sec(2x)\tan(2x)dx$, which … |
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Integrate Using u-Substitution integral of (1+x)/…
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Solution:
Step 1:
Decompose the integrand $\frac{1 + x}{1 + x^{2}}$ into two separate ter… |
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Integrate Using u-Substitution integral of sin(x)…
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Solution:
Step 1:
Transform $\sin^2(x)$ using the half-angle identity to $\frac{1 - \cos… |
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Integrate Using u-Substitution integral of sin(x)…
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Solution:
Step 1:
Transform $\sin^2(x)$ using the half-angle identity to $\frac{1 - \cos… |
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Integrate Using u-Substitution integral of x/( sq…
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Solution:
Step 1
Assign $u = x^2 + 1$. Then, calculate $du = 2x dx$, which implies $\frac{… |
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Integrate Using u-Substitution integral of (x^2)/…
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Solution:
Step:1
Choose $u = 1 + x^{3}$. Consequently, $d u = 3 x^{2} d x$, which implies … |
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Integrate Using u-Substitution integral of (sin( …
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Solution:
Step:1
Implement exponent rules.
Step:1.1
Express $\sqrt{x}$ as $x^{\frac… |
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Integrate Using u-Substitution integral of x squa…
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Solution:
Step:1
Choose $u = 1 - x^{2}$. Then, differentiate to find $du$: $du = -2x dx$, … |
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Integrate Using u-Substitution integral of x squa…
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Solution:
Step:1
Choose $u = 4 - x^{2}$. Consequently, $d u = - 2 x d x$ leads to $- \fra… |
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Integrate Using u-Substitution integral from 0 to…
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Solution:
Step:1
Define $u = 1 - x^{2}$. Consequently, $d u = - 2 x d x$ implies $- \frac{… |
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Integrate Using u-Substitution integral of x/( sq…
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Solution:
Step:1
Choose $u = 1 - x^{2}$. Consequently, we have $d u = - 2 x d x$, which i… |