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CBSE
MATHEMATICS · Multi-part · CBSE · Mathematics · Integrals · Integrals
Problem
Evaluate (1)
(i)
∫
1
1
−
e
2
x
d
x
\text{(i)} \int \frac{1}{\sqrt{1-e^{2x}}} dx
(i)
∫
1
−
e
2
x
1
d
x
(2)
(ii)
∫
2
x
1
−
x
2
−
x
4
d
x
\text{(ii)} \int \frac{2x}{\sqrt{1-x^2-x^4}} dx
(ii)
∫
1
−
x
2
−
x
4
2
x
d
x
(3)
(iii)
∫
a
x
1
−
a
2
x
d
x
\text{(iii)} \int \frac{a^x}{\sqrt{1-a^{2x}}} dx
(iii)
∫
1
−
a
2
x
a
x
d
x
(4)
(iv)
∫
x
a
3
−
x
3
d
x
\text{(iv)} \int \sqrt{\frac{x}{a^3-x^3}} dx
(iv)
∫
a
3
−
x
3
x
d
x
Related theory
Integration Techniques
Integration by Substitution
Integrals
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